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Finding the Fourth Proportional to 6,642.92, 9,167.25 and 3,658.82

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Solution

The fourth proportional to 6,642.92, 9,167.25 and 3,658.82 is: 5,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.92 : 9,167.25 = 3,658.82 : x
  2. Step 2: Convert to fraction form
    6,642.92/9,167.25 = 3,658.82/x
  3. Step 3: Cross multiply
    6,642.92x = 9,167.25 × 3,658.82
  4. Step 4: Simplify right side
    6,642.92x = 33,541,317.65
  5. Step 5: Solve for x
    x = 33,541,317.65/6,642.92
  6. Step 6: Final answer
    x = 5,049.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.