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Finding the Fourth Proportional to 8,537.40, 12,791.70 and 5,614.20

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Solution

The fourth proportional to 8,537.40, 12,791.70 and 5,614.20 is: 8,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.40 : 12,791.70 = 5,614.20 : x
  2. Step 2: Convert to fraction form
    8,537.40/12,791.70 = 5,614.20/x
  3. Step 3: Cross multiply
    8,537.40x = 12,791.70 × 5,614.20
  4. Step 4: Simplify right side
    8,537.40x = 71,815,162.14
  5. Step 5: Solve for x
    x = 71,815,162.14/8,537.40
  6. Step 6: Final answer
    x = 8,411.83

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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.