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Finding the Fourth Proportional to 6,660.68, 9,984.13 and 2,497.75

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Solution

The fourth proportional to 6,660.68, 9,984.13 and 2,497.75 is: 3,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660.68 : 9,984.13 = 2,497.75 : x
  2. Step 2: Convert to fraction form
    6,660.68/9,984.13 = 2,497.75/x
  3. Step 3: Cross multiply
    6,660.68x = 9,984.13 × 2,497.75
  4. Step 4: Simplify right side
    6,660.68x = 24,937,829.50
  5. Step 5: Solve for x
    x = 24,937,829.50/6,660.68
  6. Step 6: Final answer
    x = 3,744.04

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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.