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Finding the Fourth Proportional to 6,167.88, 9,246.15 and 2,467.80

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Solution

The fourth proportional to 6,167.88, 9,246.15 and 2,467.80 is: 3,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.88 : 9,246.15 = 2,467.80 : x
  2. Step 2: Convert to fraction form
    6,167.88/9,246.15 = 2,467.80/x
  3. Step 3: Cross multiply
    6,167.88x = 9,246.15 × 2,467.80
  4. Step 4: Simplify right side
    6,167.88x = 22,817,648.97
  5. Step 5: Solve for x
    x = 22,817,648.97/6,167.88
  6. Step 6: Final answer
    x = 3,699.43

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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.