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Finding the Fourth Proportional to 8,197.84, 12,296.76 and 3,002.52

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Solution

The fourth proportional to 8,197.84, 12,296.76 and 3,002.52 is: 4,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.84 : 12,296.76 = 3,002.52 : x
  2. Step 2: Convert to fraction form
    8,197.84/12,296.76 = 3,002.52/x
  3. Step 3: Cross multiply
    8,197.84x = 12,296.76 × 3,002.52
  4. Step 4: Simplify right side
    8,197.84x = 36,921,267.84
  5. Step 5: Solve for x
    x = 36,921,267.84/8,197.84
  6. Step 6: Final answer
    x = 4,503.78

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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.