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Finding the Fourth Proportional to 16,792, 25,171.56 and 6,938.16

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Solution

The fourth proportional to 16,792, 25,171.56 and 6,938.16 is: 10,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,792 : 25,171.56 = 6,938.16 : x
  2. Step 2: Convert to fraction form
    16,792/25,171.56 = 6,938.16/x
  3. Step 3: Cross multiply
    16,792x = 25,171.56 × 6,938.16
  4. Step 4: Simplify right side
    16,792x = 174,644,310.73
  5. Step 5: Solve for x
    x = 174,644,310.73/16,792
  6. Step 6: Final answer
    x = 10,400.45

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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.