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Finding the Fourth Proportional to 7,969, 11,954.14 and 2,497

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Solution

The fourth proportional to 7,969, 11,954.14 and 2,497 is: 3,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969 : 11,954.14 = 2,497 : x
  2. Step 2: Convert to fraction form
    7,969/11,954.14 = 2,497/x
  3. Step 3: Cross multiply
    7,969x = 11,954.14 × 2,497
  4. Step 4: Simplify right side
    7,969x = 29,849,487.58
  5. Step 5: Solve for x
    x = 29,849,487.58/7,969
  6. Step 6: Final answer
    x = 3,745.70

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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.