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Finding the Fourth Proportional to 6,765.62, 10,143.84 and 2,382.50

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Solution

The fourth proportional to 6,765.62, 10,143.84 and 2,382.50 is: 3,572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.62 : 10,143.84 = 2,382.50 : x
  2. Step 2: Convert to fraction form
    6,765.62/10,143.84 = 2,382.50/x
  3. Step 3: Cross multiply
    6,765.62x = 10,143.84 × 2,382.50
  4. Step 4: Simplify right side
    6,765.62x = 24,167,698.80
  5. Step 5: Solve for x
    x = 24,167,698.80/6,765.62
  6. Step 6: Final answer
    x = 3,572.13

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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.