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Finding the Fourth Proportional to 6,731.76, 10,098 and 2,571

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Solution

The fourth proportional to 6,731.76, 10,098 and 2,571 is: 3,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.76 : 10,098 = 2,571 : x
  2. Step 2: Convert to fraction form
    6,731.76/10,098 = 2,571/x
  3. Step 3: Cross multiply
    6,731.76x = 10,098 × 2,571
  4. Step 4: Simplify right side
    6,731.76x = 25,961,958
  5. Step 5: Solve for x
    x = 25,961,958/6,731.76
  6. Step 6: Final answer
    x = 3,856.64

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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.