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Finding the Fourth Proportional to 6,364.56, 9,546.96 and 1,982.18

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Solution

The fourth proportional to 6,364.56, 9,546.96 and 1,982.18 is: 2,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.56 : 9,546.96 = 1,982.18 : x
  2. Step 2: Convert to fraction form
    6,364.56/9,546.96 = 1,982.18/x
  3. Step 3: Cross multiply
    6,364.56x = 9,546.96 × 1,982.18
  4. Step 4: Simplify right side
    6,364.56x = 18,923,793.17
  5. Step 5: Solve for x
    x = 18,923,793.17/6,364.56
  6. Step 6: Final answer
    x = 2,973.31

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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.