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Finding the Fourth Proportional to 6,988.01, 10,474.94 and 3,472.61

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Solution

The fourth proportional to 6,988.01, 10,474.94 and 3,472.61 is: 5,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.01 : 10,474.94 = 3,472.61 : x
  2. Step 2: Convert to fraction form
    6,988.01/10,474.94 = 3,472.61/x
  3. Step 3: Cross multiply
    6,988.01x = 10,474.94 × 3,472.61
  4. Step 4: Simplify right side
    6,988.01x = 36,375,337.70
  5. Step 5: Solve for x
    x = 36,375,337.70/6,988.01
  6. Step 6: Final answer
    x = 5,205.40

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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.