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Finding the Fourth Proportional to 8,057.68, 12,084.42 and 5,423.69

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Solution

The fourth proportional to 8,057.68, 12,084.42 and 5,423.69 is: 8,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.68 : 12,084.42 = 5,423.69 : x
  2. Step 2: Convert to fraction form
    8,057.68/12,084.42 = 5,423.69/x
  3. Step 3: Cross multiply
    8,057.68x = 12,084.42 × 5,423.69
  4. Step 4: Simplify right side
    8,057.68x = 65,542,198.46
  5. Step 5: Solve for x
    x = 65,542,198.46/8,057.68
  6. Step 6: Final answer
    x = 8,134.13

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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.