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Finding the Fourth Proportional to 23,264, 34,902.40 and 6,848

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Solution

The fourth proportional to 23,264, 34,902.40 and 6,848 is: 10,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264 : 34,902.40 = 6,848 : x
  2. Step 2: Convert to fraction form
    23,264/34,902.40 = 6,848/x
  3. Step 3: Cross multiply
    23,264x = 34,902.40 × 6,848
  4. Step 4: Simplify right side
    23,264x = 239,011,635.20
  5. Step 5: Solve for x
    x = 239,011,635.20/23,264
  6. Step 6: Final answer
    x = 10,273.88

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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.