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Finding the Fourth Proportional to 8,474.26, 12,700.96 and 6,142.26

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Solution

The fourth proportional to 8,474.26, 12,700.96 and 6,142.26 is: 9,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.26 : 12,700.96 = 6,142.26 : x
  2. Step 2: Convert to fraction form
    8,474.26/12,700.96 = 6,142.26/x
  3. Step 3: Cross multiply
    8,474.26x = 12,700.96 × 6,142.26
  4. Step 4: Simplify right side
    8,474.26x = 78,012,598.57
  5. Step 5: Solve for x
    x = 78,012,598.57/8,474.26
  6. Step 6: Final answer
    x = 9,205.83

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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.