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Finding the Fourth Proportional to 12,515.31, 17,270.96 and 6,850

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Solution

The fourth proportional to 12,515.31, 17,270.96 and 6,850 is: 9,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,515.31 : 17,270.96 = 6,850 : x
  2. Step 2: Convert to fraction form
    12,515.31/17,270.96 = 6,850/x
  3. Step 3: Cross multiply
    12,515.31x = 17,270.96 × 6,850
  4. Step 4: Simplify right side
    12,515.31x = 118,306,076
  5. Step 5: Solve for x
    x = 118,306,076/12,515.31
  6. Step 6: Final answer
    x = 9,452.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.