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Finding the Fourth Proportional to 6,267.11, 8,648.24 and 3,578.65

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Solution

The fourth proportional to 6,267.11, 8,648.24 and 3,578.65 is: 4,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.11 : 8,648.24 = 3,578.65 : x
  2. Step 2: Convert to fraction form
    6,267.11/8,648.24 = 3,578.65/x
  3. Step 3: Cross multiply
    6,267.11x = 8,648.24 × 3,578.65
  4. Step 4: Simplify right side
    6,267.11x = 30,949,011.40
  5. Step 5: Solve for x
    x = 30,949,011.40/6,267.11
  6. Step 6: Final answer
    x = 4,938.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.