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Finding the Fourth Proportional to 22,791, 34,186.74 and 6,375

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Solution

The fourth proportional to 22,791, 34,186.74 and 6,375 is: 9,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,791 : 34,186.74 = 6,375 : x
  2. Step 2: Convert to fraction form
    22,791/34,186.74 = 6,375/x
  3. Step 3: Cross multiply
    22,791x = 34,186.74 × 6,375
  4. Step 4: Simplify right side
    22,791x = 217,940,467.50
  5. Step 5: Solve for x
    x = 217,940,467.50/22,791
  6. Step 6: Final answer
    x = 9,562.57

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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.