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Finding the Fourth Proportional to 6,874.97, 10,302.98 and 4,531.41

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Solution

The fourth proportional to 6,874.97, 10,302.98 and 4,531.41 is: 6,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.97 : 10,302.98 = 4,531.41 : x
  2. Step 2: Convert to fraction form
    6,874.97/10,302.98 = 4,531.41/x
  3. Step 3: Cross multiply
    6,874.97x = 10,302.98 × 4,531.41
  4. Step 4: Simplify right side
    6,874.97x = 46,687,003.94
  5. Step 5: Solve for x
    x = 46,687,003.94/6,874.97
  6. Step 6: Final answer
    x = 6,790.87

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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.