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Finding the Fourth Proportional to 8,497.80, 12,737.46 and 4,109.22

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Solution

The fourth proportional to 8,497.80, 12,737.46 and 4,109.22 is: 6,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.80 : 12,737.46 = 4,109.22 : x
  2. Step 2: Convert to fraction form
    8,497.80/12,737.46 = 4,109.22/x
  3. Step 3: Cross multiply
    8,497.80x = 12,737.46 × 4,109.22
  4. Step 4: Simplify right side
    8,497.80x = 52,341,025.38
  5. Step 5: Solve for x
    x = 52,341,025.38/8,497.80
  6. Step 6: Final answer
    x = 6,159.36

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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.