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Finding the Fourth Proportional to 8,737.14, 13,105.70 and 2,497.80

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Solution

The fourth proportional to 8,737.14, 13,105.70 and 2,497.80 is: 3,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.14 : 13,105.70 = 2,497.80 : x
  2. Step 2: Convert to fraction form
    8,737.14/13,105.70 = 2,497.80/x
  3. Step 3: Cross multiply
    8,737.14x = 13,105.70 × 2,497.80
  4. Step 4: Simplify right side
    8,737.14x = 32,735,417.46
  5. Step 5: Solve for x
    x = 32,735,417.46/8,737.14
  6. Step 6: Final answer
    x = 3,746.70

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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.