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Finding the Fourth Proportional to 8,646.91, 12,972.10 and 3,100.69

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Solution

The fourth proportional to 8,646.91, 12,972.10 and 3,100.69 is: 4,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.91 : 12,972.10 = 3,100.69 : x
  2. Step 2: Convert to fraction form
    8,646.91/12,972.10 = 3,100.69/x
  3. Step 3: Cross multiply
    8,646.91x = 12,972.10 × 3,100.69
  4. Step 4: Simplify right side
    8,646.91x = 40,222,420.57
  5. Step 5: Solve for x
    x = 40,222,420.57/8,646.91
  6. Step 6: Final answer
    x = 4,651.65

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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.