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Finding the Fourth Proportional to 6,658.38, 9,188.52 and 3,674.34

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Solution

The fourth proportional to 6,658.38, 9,188.52 and 3,674.34 is: 5,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.38 : 9,188.52 = 3,674.34 : x
  2. Step 2: Convert to fraction form
    6,658.38/9,188.52 = 3,674.34/x
  3. Step 3: Cross multiply
    6,658.38x = 9,188.52 × 3,674.34
  4. Step 4: Simplify right side
    6,658.38x = 33,761,746.58
  5. Step 5: Solve for x
    x = 33,761,746.58/6,658.38
  6. Step 6: Final answer
    x = 5,070.56

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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.