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Solve for $u$ in the proportion. $\newline$ $\frac{10}{u} = \frac{15}{12}$ $\newline$ $u = \_\_\_$

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Solve proportions

Full solution

Q. Solve for

u

in the proportion.

\newline

\frac{10}{u} = \frac{15}{12}

\newline

u = \_\_\_

Cross Multiply: We start with the proportion $\frac{10}{u} = \frac{15}{12}$ . Cross multiply to eliminate the fractions. $\newline$ Calculation: $10 \times 12 = 15 \times u$ $\newline$ Result: $120 = 15u$
Solve for u: Now, solve for u by dividing both sides of the equation by $15$ . $\newline$ Calculation: $\frac{120}{15} = u$ $\newline$ Result: $u = 8$

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