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Finding the Fourth Proportional to 8,221.60, 12,334.20 and 2,675.20

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Solution

The fourth proportional to 8,221.60, 12,334.20 and 2,675.20 is: 4,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.60 : 12,334.20 = 2,675.20 : x
  2. Step 2: Convert to fraction form
    8,221.60/12,334.20 = 2,675.20/x
  3. Step 3: Cross multiply
    8,221.60x = 12,334.20 × 2,675.20
  4. Step 4: Simplify right side
    8,221.60x = 32,996,451.84
  5. Step 5: Solve for x
    x = 32,996,451.84/8,221.60
  6. Step 6: Final answer
    x = 4,013.39

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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.