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Finding the Fourth Proportional to 8,162.60, 12,245.70 and 2,616.20

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Solution

The fourth proportional to 8,162.60, 12,245.70 and 2,616.20 is: 3,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.60 : 12,245.70 = 2,616.20 : x
  2. Step 2: Convert to fraction form
    8,162.60/12,245.70 = 2,616.20/x
  3. Step 3: Cross multiply
    8,162.60x = 12,245.70 × 2,616.20
  4. Step 4: Simplify right side
    8,162.60x = 32,037,200.34
  5. Step 5: Solve for x
    x = 32,037,200.34/8,162.60
  6. Step 6: Final answer
    x = 3,924.88

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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.