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Finding the Fourth Proportional to 15,792, 23,691.84 and 4,848

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Solution

The fourth proportional to 15,792, 23,691.84 and 4,848 is: 7,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792 : 23,691.84 = 4,848 : x
  2. Step 2: Convert to fraction form
    15,792/23,691.84 = 4,848/x
  3. Step 3: Cross multiply
    15,792x = 23,691.84 × 4,848
  4. Step 4: Simplify right side
    15,792x = 114,858,040.32
  5. Step 5: Solve for x
    x = 114,858,040.32/15,792
  6. Step 6: Final answer
    x = 7,273.18

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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.