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Finding the Fourth Proportional to 12,502.56, 18,753.12 and 3,737.64

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Solution

The fourth proportional to 12,502.56, 18,753.12 and 3,737.64 is: 5,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.56 : 18,753.12 = 3,737.64 : x
  2. Step 2: Convert to fraction form
    12,502.56/18,753.12 = 3,737.64/x
  3. Step 3: Cross multiply
    12,502.56x = 18,753.12 × 3,737.64
  4. Step 4: Simplify right side
    12,502.56x = 70,092,411.44
  5. Step 5: Solve for x
    x = 70,092,411.44/12,502.56
  6. Step 6: Final answer
    x = 5,606.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.