SOLUTION: i really need help with this one..thank you Write the proportion 14 is to 22 as 28 is to 44 a) 21/33=66/42 b) 21/42=66/33 c) 21/66=42/33 d) 21/33=42/66 Thank you

Question 117894: i really need help with this one..thank you
Write the proportion 14 is to 22 as 28 is to 44
a) 21/33=66/42
b) 21/42=66/33
c) 21/66=42/33
d) 21/33=42/66
Thank you

Found 2 solutions by Earlsdon, bucky:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
14 is to 22 as 28 is to 44 Write this as:
Now multiply the numerators and the denominators by ()

so...

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
The answer you are looking for is d). Why???
.
Let's write the proportion that you were given as a fraction:
.

.
How can you convert the left side of this proportion so it is equal to the right side? Do it
by multiplying the left side by . Note that is equivalent to 1 so you are
just multiplying the left side by something that equals 1.
.
If you do the multiplication, the left side becomes:
.

.
So multiplying by converts the left side of the proportion so that it equals the right side.
.
Now look at answer d. The proportion in fractional form is:
.

.
Start with the left side and multiply it by and you get:
.

.
So multiplying the left side by converts the left side so that it equals the
right side that you were given.
.
You can try the same process on answers a), b), and c) and you will see that the left side
when multiplied by does not equal the right side that you are given for each
of these three answers.
.
Hope this answers your question and makes you a little more familiar with the relationship properties
between the left and right sides of fractional proportions.
.
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