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Finding the Fourth Proportional to 6,381.56, 9,564.25 and 2,867.82

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Solution

The fourth proportional to 6,381.56, 9,564.25 and 2,867.82 is: 4,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.56 : 9,564.25 = 2,867.82 : x
  2. Step 2: Convert to fraction form
    6,381.56/9,564.25 = 2,867.82/x
  3. Step 3: Cross multiply
    6,381.56x = 9,564.25 × 2,867.82
  4. Step 4: Simplify right side
    6,381.56x = 27,428,531.29
  5. Step 5: Solve for x
    x = 27,428,531.29/6,381.56
  6. Step 6: Final answer
    x = 4,298.09

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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.