If $14 : 35 : : 4 : x$ , find the value of $x$ .

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Solution

We can write the given expression as:
$\frac{14}{35} = \frac{4}{x}$
$\frac{7 \times 2}{7 \times 5} = \frac{4}{x}$
$\frac{2}{5} = \frac{4}{x}$
Cross multiply
$2 \times x = 5 \times 4$
$x = \frac{5 \times 4}{2}$
$x = 10$ .

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