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Finding the Fourth Proportional to 6,397.90, 9,596.22 and 2,237.14

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Solution

The fourth proportional to 6,397.90, 9,596.22 and 2,237.14 is: 3,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.90 : 9,596.22 = 2,237.14 : x
  2. Step 2: Convert to fraction form
    6,397.90/9,596.22 = 2,237.14/x
  3. Step 3: Cross multiply
    6,397.90x = 9,596.22 × 2,237.14
  4. Step 4: Simplify right side
    6,397.90x = 21,468,087.61
  5. Step 5: Solve for x
    x = 21,468,087.61/6,397.90
  6. Step 6: Final answer
    x = 3,355.49

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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.