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Finding the Fourth Proportional to 15,737.92, 23,606.88 and 7,411.84

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Solution

The fourth proportional to 15,737.92, 23,606.88 and 7,411.84 is: 11,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.92 : 23,606.88 = 7,411.84 : x
  2. Step 2: Convert to fraction form
    15,737.92/23,606.88 = 7,411.84/x
  3. Step 3: Cross multiply
    15,737.92x = 23,606.88 × 7,411.84
  4. Step 4: Simplify right side
    15,737.92x = 174,970,417.46
  5. Step 5: Solve for x
    x = 174,970,417.46/15,737.92
  6. Step 6: Final answer
    x = 11,117.76

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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.