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Finding the Fourth Proportional to 6,657.69, 9,972.94 and 4,150.66

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Solution

The fourth proportional to 6,657.69, 9,972.94 and 4,150.66 is: 6,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.69 : 9,972.94 = 4,150.66 : x
  2. Step 2: Convert to fraction form
    6,657.69/9,972.94 = 4,150.66/x
  3. Step 3: Cross multiply
    6,657.69x = 9,972.94 × 4,150.66
  4. Step 4: Simplify right side
    6,657.69x = 41,394,283.14
  5. Step 5: Solve for x
    x = 41,394,283.14/6,657.69
  6. Step 6: Final answer
    x = 6,217.51

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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.