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Finding the Fourth Proportional to 6,057.92, 8,383.56 and 5,912.24

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Solution

The fourth proportional to 6,057.92, 8,383.56 and 5,912.24 is: 8,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.92 : 8,383.56 = 5,912.24 : x
  2. Step 2: Convert to fraction form
    6,057.92/8,383.56 = 5,912.24/x
  3. Step 3: Cross multiply
    6,057.92x = 8,383.56 × 5,912.24
  4. Step 4: Simplify right side
    6,057.92x = 49,565,618.77
  5. Step 5: Solve for x
    x = 49,565,618.77/6,057.92
  6. Step 6: Final answer
    x = 8,181.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.