SOLUTION: If x/y=6, y/z=7, and z/x =9, the average (arithmetic mean) of x, y, and z is?

SOLUTION: If x/y=6, y/z=7, and z/x =9, the average (arithmetic mean) of x, y, and z is?

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Question 1016440: If x/y=6, y/z=7, and z/x =9, the average (arithmetic mean) of x, y, and z is?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The given conditions are impossible. Assuming x, y, and z are nonzero, this would imply:

However the left-hand side equals 1. If any of x, y, or z is zero, then one of the fractions is undefined in value.
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