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Finding the Fourth Proportional to 11,565.82, 15,959.91 and 6,531.26

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Solution

The fourth proportional to 11,565.82, 15,959.91 and 6,531.26 is: 9,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.82 : 15,959.91 = 6,531.26 : x
  2. Step 2: Convert to fraction form
    11,565.82/15,959.91 = 6,531.26/x
  3. Step 3: Cross multiply
    11,565.82x = 15,959.91 × 6,531.26
  4. Step 4: Simplify right side
    11,565.82x = 104,238,321.79
  5. Step 5: Solve for x
    x = 104,238,321.79/11,565.82
  6. Step 6: Final answer
    x = 9,012.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.