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Finding the Fourth Proportional to 23,286.50, 34,930.91 and 6,649

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Solution

The fourth proportional to 23,286.50, 34,930.91 and 6,649 is: 9,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286.50 : 34,930.91 = 6,649 : x
  2. Step 2: Convert to fraction form
    23,286.50/34,930.91 = 6,649/x
  3. Step 3: Cross multiply
    23,286.50x = 34,930.91 × 6,649
  4. Step 4: Simplify right side
    23,286.50x = 232,255,620.59
  5. Step 5: Solve for x
    x = 232,255,620.59/23,286.50
  6. Step 6: Final answer
    x = 9,973.83

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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.