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Finding the Fourth Proportional to 6,249.50, 9,371.67 and 2,549.22

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Solution

The fourth proportional to 6,249.50, 9,371.67 and 2,549.22 is: 3,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.50 : 9,371.67 = 2,549.22 : x
  2. Step 2: Convert to fraction form
    6,249.50/9,371.67 = 2,549.22/x
  3. Step 3: Cross multiply
    6,249.50x = 9,371.67 × 2,549.22
  4. Step 4: Simplify right side
    6,249.50x = 23,890,448.60
  5. Step 5: Solve for x
    x = 23,890,448.60/6,249.50
  6. Step 6: Final answer
    x = 3,822.78

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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.