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Finding the Fourth Proportional to 6,371.66, 9,563.40 and 3,253.91

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Solution

The fourth proportional to 6,371.66, 9,563.40 and 3,253.91 is: 4,883.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.66 : 9,563.40 = 3,253.91 : x
  2. Step 2: Convert to fraction form
    6,371.66/9,563.40 = 3,253.91/x
  3. Step 3: Cross multiply
    6,371.66x = 9,563.40 × 3,253.91
  4. Step 4: Simplify right side
    6,371.66x = 31,118,395.08
  5. Step 5: Solve for x
    x = 31,118,395.08/6,371.66
  6. Step 6: Final answer
    x = 4,883.87

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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.