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Finding the Fourth Proportional to 3,999.14, 6,002.27 and 3,984.25

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Solution

The fourth proportional to 3,999.14, 6,002.27 and 3,984.25 is: 5,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.14 : 6,002.27 = 3,984.25 : x
  2. Step 2: Convert to fraction form
    3,999.14/6,002.27 = 3,984.25/x
  3. Step 3: Cross multiply
    3,999.14x = 6,002.27 × 3,984.25
  4. Step 4: Simplify right side
    3,999.14x = 23,914,524.33
  5. Step 5: Solve for x
    x = 23,914,524.33/3,999.14
  6. Step 6: Final answer
    x = 5,979.92

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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.