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Finding the Fourth Proportional to 10,967.28, 15,134 and 6,251.44

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Solution

The fourth proportional to 10,967.28, 15,134 and 6,251.44 is: 8,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.28 : 15,134 = 6,251.44 : x
  2. Step 2: Convert to fraction form
    10,967.28/15,134 = 6,251.44/x
  3. Step 3: Cross multiply
    10,967.28x = 15,134 × 6,251.44
  4. Step 4: Simplify right side
    10,967.28x = 94,609,292.96
  5. Step 5: Solve for x
    x = 94,609,292.96/10,967.28
  6. Step 6: Final answer
    x = 8,626.50

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Why These Related Problems?

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