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Finding the Fourth Proportional to 6,381.91, 9,568.14 and 1,996.84

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Solution

The fourth proportional to 6,381.91, 9,568.14 and 1,996.84 is: 2,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.91 : 9,568.14 = 1,996.84 : x
  2. Step 2: Convert to fraction form
    6,381.91/9,568.14 = 1,996.84/x
  3. Step 3: Cross multiply
    6,381.91x = 9,568.14 × 1,996.84
  4. Step 4: Simplify right side
    6,381.91x = 19,106,044.68
  5. Step 5: Solve for x
    x = 19,106,044.68/6,381.91
  6. Step 6: Final answer
    x = 2,993.78

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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.