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Finding the Fourth Proportional to 8,092.87, 12,140.43 and 3,649.92

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Solution

The fourth proportional to 8,092.87, 12,140.43 and 3,649.92 is: 5,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.87 : 12,140.43 = 3,649.92 : x
  2. Step 2: Convert to fraction form
    8,092.87/12,140.43 = 3,649.92/x
  3. Step 3: Cross multiply
    8,092.87x = 12,140.43 × 3,649.92
  4. Step 4: Simplify right side
    8,092.87x = 44,311,598.27
  5. Step 5: Solve for x
    x = 44,311,598.27/8,092.87
  6. Step 6: Final answer
    x = 5,475.39

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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.