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Finding the Fourth Proportional to 6,096.92, 9,145.38 and 2,147.96

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Solution

The fourth proportional to 6,096.92, 9,145.38 and 2,147.96 is: 3,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.92 : 9,145.38 = 2,147.96 : x
  2. Step 2: Convert to fraction form
    6,096.92/9,145.38 = 2,147.96/x
  3. Step 3: Cross multiply
    6,096.92x = 9,145.38 × 2,147.96
  4. Step 4: Simplify right side
    6,096.92x = 19,643,910.42
  5. Step 5: Solve for x
    x = 19,643,910.42/6,096.92
  6. Step 6: Final answer
    x = 3,221.94

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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.