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Finding the Fourth Proportional to 8,197.98, 12,297.17 and 3,200.69

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Solution

The fourth proportional to 8,197.98, 12,297.17 and 3,200.69 is: 4,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.98 : 12,297.17 = 3,200.69 : x
  2. Step 2: Convert to fraction form
    8,197.98/12,297.17 = 3,200.69/x
  3. Step 3: Cross multiply
    8,197.98x = 12,297.17 × 3,200.69
  4. Step 4: Simplify right side
    8,197.98x = 39,359,351.56
  5. Step 5: Solve for x
    x = 39,359,351.56/8,197.98
  6. Step 6: Final answer
    x = 4,801.10

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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.