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Finding the Fourth Proportional to 24,400, 36,600.02 and 6,869.83

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Solution

The fourth proportional to 24,400, 36,600.02 and 6,869.83 is: 10,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400 : 36,600.02 = 6,869.83 : x
  2. Step 2: Convert to fraction form
    24,400/36,600.02 = 6,869.83/x
  3. Step 3: Cross multiply
    24,400x = 36,600.02 × 6,869.83
  4. Step 4: Simplify right side
    24,400x = 251,435,915.40
  5. Step 5: Solve for x
    x = 251,435,915.40/24,400
  6. Step 6: Final answer
    x = 10,304.75

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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.