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Finding the Fourth Proportional to 8,096.64, 12,145.28 and 2,253.76

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Solution

The fourth proportional to 8,096.64, 12,145.28 and 2,253.76 is: 3,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.64 : 12,145.28 = 2,253.76 : x
  2. Step 2: Convert to fraction form
    8,096.64/12,145.28 = 2,253.76/x
  3. Step 3: Cross multiply
    8,096.64x = 12,145.28 × 2,253.76
  4. Step 4: Simplify right side
    8,096.64x = 27,372,546.25
  5. Step 5: Solve for x
    x = 27,372,546.25/8,096.64
  6. Step 6: Final answer
    x = 3,380.73

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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.