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Finding the Fourth Proportional to 6,984.66, 10,472.87 and 3,474.52

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Solution

The fourth proportional to 6,984.66, 10,472.87 and 3,474.52 is: 5,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.66 : 10,472.87 = 3,474.52 : x
  2. Step 2: Convert to fraction form
    6,984.66/10,472.87 = 3,474.52/x
  3. Step 3: Cross multiply
    6,984.66x = 10,472.87 × 3,474.52
  4. Step 4: Simplify right side
    6,984.66x = 36,388,178.90
  5. Step 5: Solve for x
    x = 36,388,178.90/6,984.66
  6. Step 6: Final answer
    x = 5,209.73

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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.