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Finding the Fourth Proportional to 6,171.94, 9,251.76 and 3,982.21

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Solution

The fourth proportional to 6,171.94, 9,251.76 and 3,982.21 is: 5,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.94 : 9,251.76 = 3,982.21 : x
  2. Step 2: Convert to fraction form
    6,171.94/9,251.76 = 3,982.21/x
  3. Step 3: Cross multiply
    6,171.94x = 9,251.76 × 3,982.21
  4. Step 4: Simplify right side
    6,171.94x = 36,842,404.93
  5. Step 5: Solve for x
    x = 36,842,404.93/6,171.94
  6. Step 6: Final answer
    x = 5,969.34

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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.