document.write( "Question 827332: Okay so I know it has to do with proportions and I don't necessarily need an answer I just need to know how to set this problem up. Please and thank you :) \r
\n" ); document.write( "\n" ); document.write( "A 4 by 6in. Drawing is enlarged to put on a poster that measures 20 by 24 in. What are the dimensions of the largest enlargement possible? \r
\n" ); document.write( "\n" ); document.write( "I feel like the largest would be 20 by 24. Right?
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Algebra.Com's Answer #498685 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
Not right.
\n" ); document.write( "The length to width ratio of the drawing is
\n" ); document.write( "\"6%2F4=3%2F2=1.5\"
\n" ); document.write( "The drawing's length is 1.5 times its width.
\n" ); document.write( "With a width if 20 inches, the same ratio would require a length of 30 inches (1.5 times 20 inches).
\n" ); document.write( "\"6%2F4=L%2F20\" --> \"6%2A20%2F4=L\" --> \"L=30\"
\n" ); document.write( "Your poster is not long enough. It is much more \"squarish\" than the drawing.
\n" ); document.write( "You cannot enlarge the drawing so much.
\n" ); document.write( "You can only enlarge it enough the fill the length, but will end up with an enlarged drawing narrower than the 20 inch width of the poster.
\n" ); document.write( "The width to length ratio of your drawing (before and after enlarging) is
\n" ); document.write( "\"width%2F%2224+inch%22=4%2F6\" --> \"width=4%2A%2824inch%29%2F6\" --> \"highlight%28width=16inch%29\" .
\n" ); document.write( "Your enlarged drawing will measure 16 inches by 24 inches.
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