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Finding the Fourth Proportional to 6,163.72, 9,244.50 and 1,781.80

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Solution

The fourth proportional to 6,163.72, 9,244.50 and 1,781.80 is: 2,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.72 : 9,244.50 = 1,781.80 : x
  2. Step 2: Convert to fraction form
    6,163.72/9,244.50 = 1,781.80/x
  3. Step 3: Cross multiply
    6,163.72x = 9,244.50 × 1,781.80
  4. Step 4: Simplify right side
    6,163.72x = 16,471,850.10
  5. Step 5: Solve for x
    x = 16,471,850.10/6,163.72
  6. Step 6: Final answer
    x = 2,672.39

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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.