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Solve for 
k.

{:[(9)/(10)=(10 )/(k)],[k=]:}

Solve for k k .\newline910=10kk= \begin{array}{l} \frac{9}{10}=\frac{10}{k} \\ k= \end{array}

Full solution

Q. Solve for k k .\newline910=10kk= \begin{array}{l} \frac{9}{10}=\frac{10}{k} \\ k= \end{array}
  1. Set up proportion: Set up the proportion as given.\newlineWe have the proportion 910=10k\frac{9}{10} = \frac{10}{k}. We need to solve for kk.
  2. Cross-multiply: Cross-multiply to find the value of kk. Cross-multiplication gives us 9×k=10×109 \times k = 10 \times 10.
  3. Perform multiplication: Perform the multiplication on the right side of the equation. 10×10=10010 \times 10 = 100, so we have 9×k=1009 \times k = 100.
  4. Divide sides: Divide both sides of the equation by 99 to solve for kk. \newlinek=1009.k = \frac{100}{9}.
  5. Simplify division: Simplify the division to find the value of kk.k=11.111k = 11.111\ldots (which is a repeating decimal).

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