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Finding the Fourth Proportional to 8,200.98, 12,301.57 and 3,267.74

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Solution

The fourth proportional to 8,200.98, 12,301.57 and 3,267.74 is: 4,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.98 : 12,301.57 = 3,267.74 : x
  2. Step 2: Convert to fraction form
    8,200.98/12,301.57 = 3,267.74/x
  3. Step 3: Cross multiply
    8,200.98x = 12,301.57 × 3,267.74
  4. Step 4: Simplify right side
    8,200.98x = 40,198,367.19
  5. Step 5: Solve for x
    x = 40,198,367.19/8,200.98
  6. Step 6: Final answer
    x = 4,901.65

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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.