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Finding the Fourth Proportional to 6,057.75, 9,082.17 and 2,308.86

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Solution

The fourth proportional to 6,057.75, 9,082.17 and 2,308.86 is: 3,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.75 : 9,082.17 = 2,308.86 : x
  2. Step 2: Convert to fraction form
    6,057.75/9,082.17 = 2,308.86/x
  3. Step 3: Cross multiply
    6,057.75x = 9,082.17 × 2,308.86
  4. Step 4: Simplify right side
    6,057.75x = 20,969,459.03
  5. Step 5: Solve for x
    x = 20,969,459.03/6,057.75
  6. Step 6: Final answer
    x = 3,461.59

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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.