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Finding the Fourth Proportional to 6,432.76, 9,633.70 and 5,503

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Solution

The fourth proportional to 6,432.76, 9,633.70 and 5,503 is: 8,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.76 : 9,633.70 = 5,503 : x
  2. Step 2: Convert to fraction form
    6,432.76/9,633.70 = 5,503/x
  3. Step 3: Cross multiply
    6,432.76x = 9,633.70 × 5,503
  4. Step 4: Simplify right side
    6,432.76x = 53,014,251.10
  5. Step 5: Solve for x
    x = 53,014,251.10/6,432.76
  6. Step 6: Final answer
    x = 8,241.29

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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.