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Finding the Fourth Proportional to 4,057.57, 6,086.34 and 979.57

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Solution

The fourth proportional to 4,057.57, 6,086.34 and 979.57 is: 1,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.57 : 6,086.34 = 979.57 : x
  2. Step 2: Convert to fraction form
    4,057.57/6,086.34 = 979.57/x
  3. Step 3: Cross multiply
    4,057.57x = 6,086.34 × 979.57
  4. Step 4: Simplify right side
    4,057.57x = 5,961,996.07
  5. Step 5: Solve for x
    x = 5,961,996.07/4,057.57
  6. Step 6: Final answer
    x = 1,469.35

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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.