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Finding the Fourth Proportional to 23,791, 35,686.50 and 7,375

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Solution

The fourth proportional to 23,791, 35,686.50 and 7,375 is: 11,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791 : 35,686.50 = 7,375 : x
  2. Step 2: Convert to fraction form
    23,791/35,686.50 = 7,375/x
  3. Step 3: Cross multiply
    23,791x = 35,686.50 × 7,375
  4. Step 4: Simplify right side
    23,791x = 263,187,937.50
  5. Step 5: Solve for x
    x = 263,187,937.50/23,791
  6. Step 6: Final answer
    x = 11,062.50

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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.