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Finding the Fourth Proportional to 6,057.76, 9,082.44 and 3,090.44

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Solution

The fourth proportional to 6,057.76, 9,082.44 and 3,090.44 is: 4,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.76 : 9,082.44 = 3,090.44 : x
  2. Step 2: Convert to fraction form
    6,057.76/9,082.44 = 3,090.44/x
  3. Step 3: Cross multiply
    6,057.76x = 9,082.44 × 3,090.44
  4. Step 4: Simplify right side
    6,057.76x = 28,068,735.87
  5. Step 5: Solve for x
    x = 28,068,735.87/6,057.76
  6. Step 6: Final answer
    x = 4,633.52

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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.