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QUESTION IMAGE

solve for u in the proportion \\frac{4}{u} = \\frac{28}{98} u = submit

Question

solve for u in the proportion
\frac{4}{u} = \frac{28}{98}

u =
submit

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion $\frac{4}{u}=\frac{28}{98}$, we use the cross - multiplication property of proportions. If $\frac{a}{b}=\frac{c}{d}$, then $a\times d = b\times c$. So, we have $4\times98=28\times u$.

Step2: Calculate the left - hand side

Calculate $4\times98$. We know that $4\times98 = 392$. So the equation becomes $392 = 28u$.

Step3: Solve for u

To solve for $u$, we divide both sides of the equation $392 = 28u$ by 28. That is, $u=\frac{392}{28}$.
Simplify $\frac{392}{28}$. We can divide 392 by 28: $392\div28 = 14$.

Answer:

14