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Finding the Fourth Proportional to 6,821.29, 10,226.72 and 6,125.87

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Solution

The fourth proportional to 6,821.29, 10,226.72 and 6,125.87 is: 9,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.29 : 10,226.72 = 6,125.87 : x
  2. Step 2: Convert to fraction form
    6,821.29/10,226.72 = 6,125.87/x
  3. Step 3: Cross multiply
    6,821.29x = 10,226.72 × 6,125.87
  4. Step 4: Simplify right side
    6,821.29x = 62,647,557.25
  5. Step 5: Solve for x
    x = 62,647,557.25/6,821.29
  6. Step 6: Final answer
    x = 9,184.12

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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.