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Finding the Fourth Proportional to 15,732.54, 21,710.88 and 8,659.41

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Solution

The fourth proportional to 15,732.54, 21,710.88 and 8,659.41 is: 11,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.54 : 21,710.88 = 8,659.41 : x
  2. Step 2: Convert to fraction form
    15,732.54/21,710.88 = 8,659.41/x
  3. Step 3: Cross multiply
    15,732.54x = 21,710.88 × 8,659.41
  4. Step 4: Simplify right side
    15,732.54x = 188,003,411.38
  5. Step 5: Solve for x
    x = 188,003,411.38/15,732.54
  6. Step 6: Final answer
    x = 11,949.97

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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.