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Solve for r. {:[(4)/(r)=(5)/(7)],[r=]:}

Solve for r r .\newline4r=57r=□ \begin{array}{l} \frac{4}{r}=\frac{5}{7} \\ r=\square \end{array}

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Full solution

Q. Solve for r r .\newline4r=57r=□ \begin{array}{l} \frac{4}{r}=\frac{5}{7} \\ r=\square \end{array}
  1. Set up equation: Set up the equation from the problem.\newlineWe have the equation 4r=57\frac{4}{r} = \frac{5}{7}.
  2. Cross-multiply for rr: Cross-multiply to solve for rr. Cross-multiplying gives us 4×7=5×r4 \times 7 = 5 \times r.
  3. Perform multiplication: Perform the multiplication on both sides.\newlineThis results in 28=5r28 = 5r.
  4. Divide for rr: Divide both sides by 55 to solve for rr.\newlineDividing by 55 gives us r=285r = \frac{28}{5}.
  5. Calculate rr: Calculate the value of rr.r=5.6r = 5.6

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