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Finding the Fourth Proportional to 6,658.38, 9,176.22 and 4,976.82

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Solution

The fourth proportional to 6,658.38, 9,176.22 and 4,976.82 is: 6,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.38 : 9,176.22 = 4,976.82 : x
  2. Step 2: Convert to fraction form
    6,658.38/9,176.22 = 4,976.82/x
  3. Step 3: Cross multiply
    6,658.38x = 9,176.22 × 4,976.82
  4. Step 4: Simplify right side
    6,658.38x = 45,668,395.22
  5. Step 5: Solve for x
    x = 45,668,395.22/6,658.38
  6. Step 6: Final answer
    x = 6,858.78

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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.