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Finding the Fourth Proportional to 8,197.84, 12,296.85 and 2,354.50

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Solution

The fourth proportional to 8,197.84, 12,296.85 and 2,354.50 is: 3,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.84 : 12,296.85 = 2,354.50 : x
  2. Step 2: Convert to fraction form
    8,197.84/12,296.85 = 2,354.50/x
  3. Step 3: Cross multiply
    8,197.84x = 12,296.85 × 2,354.50
  4. Step 4: Simplify right side
    8,197.84x = 28,952,933.33
  5. Step 5: Solve for x
    x = 28,952,933.33/8,197.84
  6. Step 6: Final answer
    x = 3,531.78

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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.