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Finding the Fourth Proportional to 23,850, 35,775 and 7,434

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Solution

The fourth proportional to 23,850, 35,775 and 7,434 is: 11,151

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850 : 35,775 = 7,434 : x
  2. Step 2: Convert to fraction form
    23,850/35,775 = 7,434/x
  3. Step 3: Cross multiply
    23,850x = 35,775 × 7,434
  4. Step 4: Simplify right side
    23,850x = 265,951,350
  5. Step 5: Solve for x
    x = 265,951,350/23,850
  6. Step 6: Final answer
    x = 11,151

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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.