If 2 : 7 :: x : 21, find the value of x.

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Solution

The correct option is B 6
The two ratios in proportion can be written as
$\frac{2}{7}$ = $\frac{x}{21}$
Multiplying both sides by 21,
⇒ $\frac{2}{7}$ × 21 = $\frac{x}{21}$ × 21
⇒ x = 2 × 3 = 6
Thus, the value of x is 6.

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