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Finding the Fourth Proportional to 6,814.80, 10,224.16 and 2,432.57

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Solution

The fourth proportional to 6,814.80, 10,224.16 and 2,432.57 is: 3,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.80 : 10,224.16 = 2,432.57 : x
  2. Step 2: Convert to fraction form
    6,814.80/10,224.16 = 2,432.57/x
  3. Step 3: Cross multiply
    6,814.80x = 10,224.16 × 2,432.57
  4. Step 4: Simplify right side
    6,814.80x = 24,870,927.69
  5. Step 5: Solve for x
    x = 24,870,927.69/6,814.80
  6. Step 6: Final answer
    x = 3,649.55

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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.