Solve for k. {:[(8)/(7)=(12 )/(k)],[k=]:}

Set up proportion: Set up the proportion. We have the proportion 8/7 = 12/k. To solve for k, we need to find the value that makes this equation true.Cross-multiply for k: Cross-multiply to solve for k. Cross-multiplication gives us 8 * k = 12 * 7.Perform multiplication: Perform the multiplication on the right side of the equation. 12 * 7 = 84, so the equation becomes 8 * k = 84.Divide by 8: Divide both sides of the equation by 8 to solve for k. k = 84 / 8.Calculate k: Calculate the value of k. k = 10.5.

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Solve for
k.

{:[(8)/(7)=(12 )/(k)],[k=]:}

Solve for $k$ . $\newline$ $\begin{array}{l} \frac{8}{7}=\frac{12}{k} \\ k= \end{array}$

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Math Problems

Grade 6

Multiply using the distributive property

Full solution

Q. Solve for

k

\newline

\begin{array}{l} \frac{8}{7}=\frac{12}{k} \\ k= \end{array}

Set up proportion: Set up the proportion. $\newline$ We have the proportion $\frac{8}{7} = \frac{12}{k}$ . To solve for $k$ , we need to find the value that makes this equation true.
Cross-multiply for $k$ : Cross-multiply to solve for $k$ . Cross-multiplication gives us $8 \times k = 12 \times 7$ .
Perform multiplication: Perform the multiplication on the right side of the equation. $12 \times 7 = 84$ , so the equation becomes $8 \times k = 84$ .
Divide by $8$ : Divide both sides of the equation by $8$ to solve for $k$ . $k = \frac{84}{8}$ .
Calculate $k$ : Calculate the value of $k$ . $k = 10.5$ .