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Finding the Fourth Proportional to 8,049.82, 12,074.74 and 2,206.48

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Solution

The fourth proportional to 8,049.82, 12,074.74 and 2,206.48 is: 3,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.82 : 12,074.74 = 2,206.48 : x
  2. Step 2: Convert to fraction form
    8,049.82/12,074.74 = 2,206.48/x
  3. Step 3: Cross multiply
    8,049.82x = 12,074.74 × 2,206.48
  4. Step 4: Simplify right side
    8,049.82x = 26,642,672.32
  5. Step 5: Solve for x
    x = 26,642,672.32/8,049.82
  6. Step 6: Final answer
    x = 3,309.72

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Similar ratio
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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.