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Finding the Fourth Proportional to 8,500.95, 12,737.03 and 5,207.16

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Solution

The fourth proportional to 8,500.95, 12,737.03 and 5,207.16 is: 7,801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.95 : 12,737.03 = 5,207.16 : x
  2. Step 2: Convert to fraction form
    8,500.95/12,737.03 = 5,207.16/x
  3. Step 3: Cross multiply
    8,500.95x = 12,737.03 × 5,207.16
  4. Step 4: Simplify right side
    8,500.95x = 66,323,727.10
  5. Step 5: Solve for x
    x = 66,323,727.10/8,500.95
  6. Step 6: Final answer
    x = 7,801.92

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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.