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Finding the Fourth Proportional to 8,282.58, 12,424.20 and 3,896.97

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Solution

The fourth proportional to 8,282.58, 12,424.20 and 3,896.97 is: 5,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.58 : 12,424.20 = 3,896.97 : x
  2. Step 2: Convert to fraction form
    8,282.58/12,424.20 = 3,896.97/x
  3. Step 3: Cross multiply
    8,282.58x = 12,424.20 × 3,896.97
  4. Step 4: Simplify right side
    8,282.58x = 48,416,734.67
  5. Step 5: Solve for x
    x = 48,416,734.67/8,282.58
  6. Step 6: Final answer
    x = 5,845.61

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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.