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Finding the Fourth Proportional to 6,371.74, 9,563.08 and 3,044.09

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Solution

The fourth proportional to 6,371.74, 9,563.08 and 3,044.09 is: 4,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.74 : 9,563.08 = 3,044.09 : x
  2. Step 2: Convert to fraction form
    6,371.74/9,563.08 = 3,044.09/x
  3. Step 3: Cross multiply
    6,371.74x = 9,563.08 × 3,044.09
  4. Step 4: Simplify right side
    6,371.74x = 29,110,892.49
  5. Step 5: Solve for x
    x = 29,110,892.49/6,371.74
  6. Step 6: Final answer
    x = 4,568.75

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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.