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Finding the Fourth Proportional to 6,381.03, 9,568.85 and 2,431.68

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Solution

The fourth proportional to 6,381.03, 9,568.85 and 2,431.68 is: 3,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.03 : 9,568.85 = 2,431.68 : x
  2. Step 2: Convert to fraction form
    6,381.03/9,568.85 = 2,431.68/x
  3. Step 3: Cross multiply
    6,381.03x = 9,568.85 × 2,431.68
  4. Step 4: Simplify right side
    6,381.03x = 23,268,381.17
  5. Step 5: Solve for x
    x = 23,268,381.17/6,381.03
  6. Step 6: Final answer
    x = 3,646.49

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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.