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Finding the Fourth Proportional to 6,351.57, 9,527.14 and 1,967.85

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Solution

The fourth proportional to 6,351.57, 9,527.14 and 1,967.85 is: 2,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.57 : 9,527.14 = 1,967.85 : x
  2. Step 2: Convert to fraction form
    6,351.57/9,527.14 = 1,967.85/x
  3. Step 3: Cross multiply
    6,351.57x = 9,527.14 × 1,967.85
  4. Step 4: Simplify right side
    6,351.57x = 18,747,982.45
  5. Step 5: Solve for x
    x = 18,747,982.45/6,351.57
  6. Step 6: Final answer
    x = 2,951.71

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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.