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Finding the Fourth Proportional to 8,096.96, 12,145.48 and 2,550.74

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Solution

The fourth proportional to 8,096.96, 12,145.48 and 2,550.74 is: 3,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.96 : 12,145.48 = 2,550.74 : x
  2. Step 2: Convert to fraction form
    8,096.96/12,145.48 = 2,550.74/x
  3. Step 3: Cross multiply
    8,096.96x = 12,145.48 × 2,550.74
  4. Step 4: Simplify right side
    8,096.96x = 30,979,961.66
  5. Step 5: Solve for x
    x = 30,979,961.66/8,096.96
  6. Step 6: Final answer
    x = 3,826.12

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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.