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Finding the Fourth Proportional to 15,963.92, 22,031.16 and 9,247.40

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Solution

The fourth proportional to 15,963.92, 22,031.16 and 9,247.40 is: 12,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963.92 : 22,031.16 = 9,247.40 : x
  2. Step 2: Convert to fraction form
    15,963.92/22,031.16 = 9,247.40/x
  3. Step 3: Cross multiply
    15,963.92x = 22,031.16 × 9,247.40
  4. Step 4: Simplify right side
    15,963.92x = 203,730,948.98
  5. Step 5: Solve for x
    x = 203,730,948.98/15,963.92
  6. Step 6: Final answer
    x = 12,761.96

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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.