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Finding the Fourth Proportional to 6,107.00, 9,167.81 and 3,642.98

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Solution

The fourth proportional to 6,107.00, 9,167.81 and 3,642.98 is: 5,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.00 : 9,167.81 = 3,642.98 : x
  2. Step 2: Convert to fraction form
    6,107.00/9,167.81 = 3,642.98/x
  3. Step 3: Cross multiply
    6,107.00x = 9,167.81 × 3,642.98
  4. Step 4: Simplify right side
    6,107.00x = 33,398,118.80
  5. Step 5: Solve for x
    x = 33,398,118.80/6,107.00
  6. Step 6: Final answer
    x = 5,468.83

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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.