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Finding the Fourth Proportional to 6,297.92, 9,451.13 and 2,600.07

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Solution

The fourth proportional to 6,297.92, 9,451.13 and 2,600.07 is: 3,901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.92 : 9,451.13 = 2,600.07 : x
  2. Step 2: Convert to fraction form
    6,297.92/9,451.13 = 2,600.07/x
  3. Step 3: Cross multiply
    6,297.92x = 9,451.13 × 2,600.07
  4. Step 4: Simplify right side
    6,297.92x = 24,573,586.58
  5. Step 5: Solve for x
    x = 24,573,586.58/6,297.92
  6. Step 6: Final answer
    x = 3,901.86

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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.