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Finding the Fourth Proportional to 6,142.64, 9,213.02 and 1,982.08

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Solution

The fourth proportional to 6,142.64, 9,213.02 and 1,982.08 is: 2,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.64 : 9,213.02 = 1,982.08 : x
  2. Step 2: Convert to fraction form
    6,142.64/9,213.02 = 1,982.08/x
  3. Step 3: Cross multiply
    6,142.64x = 9,213.02 × 1,982.08
  4. Step 4: Simplify right side
    6,142.64x = 18,260,942.68
  5. Step 5: Solve for x
    x = 18,260,942.68/6,142.64
  6. Step 6: Final answer
    x = 2,972.82

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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.