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Finding the Fourth Proportional to 4,057.97, 6,086.96 and 979.97

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Solution

The fourth proportional to 4,057.97, 6,086.96 and 979.97 is: 1,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.97 : 6,086.96 = 979.97 : x
  2. Step 2: Convert to fraction form
    4,057.97/6,086.96 = 979.97/x
  3. Step 3: Cross multiply
    4,057.97x = 6,086.96 × 979.97
  4. Step 4: Simplify right side
    4,057.97x = 5,965,055.86
  5. Step 5: Solve for x
    x = 5,965,055.86/4,057.97
  6. Step 6: Final answer
    x = 1,469.96

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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.