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Finding the Fourth Proportional to 8,497.17, 12,746.22 and 3,567

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Solution

The fourth proportional to 8,497.17, 12,746.22 and 3,567 is: 5,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.17 : 12,746.22 = 3,567 : x
  2. Step 2: Convert to fraction form
    8,497.17/12,746.22 = 3,567/x
  3. Step 3: Cross multiply
    8,497.17x = 12,746.22 × 3,567
  4. Step 4: Simplify right side
    8,497.17x = 45,465,766.74
  5. Step 5: Solve for x
    x = 45,465,766.74/8,497.17
  6. Step 6: Final answer
    x = 5,350.70

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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.