Question

2/3: 4/7 :: 11/6 : x , find x

Answer 1

Answer:

x=11:7 or x=11/7

Step-by-step explanation:

We know that in compound proportion, the product of extremes is equal to the product of means.

eg. if   x:y : : a:b  Then,

           y*a=x*b.

So here we have,

      (4/7)*(11/6)=(2/3)*x

or    x=(4/7)*(11/6)*(3/2).

     Which is equal to     x=11/7           or        x=11:7

Answer 2

Answer:

$\frac{2}{3} : \frac{4}{7} :: \frac{11}{6} : \frac{x}{y}$                     $(x : y = \frac{x}{y} )$                          

(2/3)/(4/7) = (11/6)/(x/y)

⇒ (14/12) = (11y/6x)

⇒ (7/6) = (11y/6x)

⇒ (7/1) = (11y/x)

⇒ (7/11) = y/x

⇒ (11/7) = x/y

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