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Finding the Fourth Proportional to 12,442.69, 18,664.17 and 3,677.68

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Solution

The fourth proportional to 12,442.69, 18,664.17 and 3,677.68 is: 5,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.69 : 18,664.17 = 3,677.68 : x
  2. Step 2: Convert to fraction form
    12,442.69/18,664.17 = 3,677.68/x
  3. Step 3: Cross multiply
    12,442.69x = 18,664.17 × 3,677.68
  4. Step 4: Simplify right side
    12,442.69x = 68,640,844.73
  5. Step 5: Solve for x
    x = 68,640,844.73/12,442.69
  6. Step 6: Final answer
    x = 5,516.56

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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.