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Finding the Fourth Proportional to 6,761.71, 10,142.22 and 2,379.20

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Solution

The fourth proportional to 6,761.71, 10,142.22 and 2,379.20 is: 3,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.71 : 10,142.22 = 2,379.20 : x
  2. Step 2: Convert to fraction form
    6,761.71/10,142.22 = 2,379.20/x
  3. Step 3: Cross multiply
    6,761.71x = 10,142.22 × 2,379.20
  4. Step 4: Simplify right side
    6,761.71x = 24,130,369.82
  5. Step 5: Solve for x
    x = 24,130,369.82/6,761.71
  6. Step 6: Final answer
    x = 3,568.68

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1.5x scale

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.