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Finding the Fourth Proportional to 6,375.72, 9,565.44 and 2,676

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Solution

The fourth proportional to 6,375.72, 9,565.44 and 2,676 is: 4,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.72 : 9,565.44 = 2,676 : x
  2. Step 2: Convert to fraction form
    6,375.72/9,565.44 = 2,676/x
  3. Step 3: Cross multiply
    6,375.72x = 9,565.44 × 2,676
  4. Step 4: Simplify right side
    6,375.72x = 25,597,117.44
  5. Step 5: Solve for x
    x = 25,597,117.44/6,375.72
  6. Step 6: Final answer
    x = 4,014.78

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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.