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Finding the Fourth Proportional to 8,401.14, 12,604.14 and 3,469.86

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Solution

The fourth proportional to 8,401.14, 12,604.14 and 3,469.86 is: 5,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.14 : 12,604.14 = 3,469.86 : x
  2. Step 2: Convert to fraction form
    8,401.14/12,604.14 = 3,469.86/x
  3. Step 3: Cross multiply
    8,401.14x = 12,604.14 × 3,469.86
  4. Step 4: Simplify right side
    8,401.14x = 43,734,601.22
  5. Step 5: Solve for x
    x = 43,734,601.22/8,401.14
  6. Step 6: Final answer
    x = 5,205.79

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1.5x scale

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.