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Finding the Fourth Proportional to 8,206.77, 12,310.17 and 2,363.85

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Solution

The fourth proportional to 8,206.77, 12,310.17 and 2,363.85 is: 3,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.77 : 12,310.17 = 2,363.85 : x
  2. Step 2: Convert to fraction form
    8,206.77/12,310.17 = 2,363.85/x
  3. Step 3: Cross multiply
    8,206.77x = 12,310.17 × 2,363.85
  4. Step 4: Simplify right side
    8,206.77x = 29,099,395.35
  5. Step 5: Solve for x
    x = 29,099,395.35/8,206.77
  6. Step 6: Final answer
    x = 3,545.78

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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.