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Finding the Fourth Proportional to 6,563.58, 9,839.78 and 2,863.10

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Solution

The fourth proportional to 6,563.58, 9,839.78 and 2,863.10 is: 4,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.58 : 9,839.78 = 2,863.10 : x
  2. Step 2: Convert to fraction form
    6,563.58/9,839.78 = 2,863.10/x
  3. Step 3: Cross multiply
    6,563.58x = 9,839.78 × 2,863.10
  4. Step 4: Simplify right side
    6,563.58x = 28,172,239.79
  5. Step 5: Solve for x
    x = 28,172,239.79/6,563.58
  6. Step 6: Final answer
    x = 4,292.21

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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.