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Finding the Fourth Proportional to 6,250.96, 9,375.84 and 1,633.96

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Solution

The fourth proportional to 6,250.96, 9,375.84 and 1,633.96 is: 2,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,250.96 : 9,375.84 = 1,633.96 : x
  2. Step 2: Convert to fraction form
    6,250.96/9,375.84 = 1,633.96/x
  3. Step 3: Cross multiply
    6,250.96x = 9,375.84 × 1,633.96
  4. Step 4: Simplify right side
    6,250.96x = 15,319,747.53
  5. Step 5: Solve for x
    x = 15,319,747.53/6,250.96
  6. Step 6: Final answer
    x = 2,450.78

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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.