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Finding the Fourth Proportional to 6,780.70, 10,168.71 and 3,222.41

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Solution

The fourth proportional to 6,780.70, 10,168.71 and 3,222.41 is: 4,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.70 : 10,168.71 = 3,222.41 : x
  2. Step 2: Convert to fraction form
    6,780.70/10,168.71 = 3,222.41/x
  3. Step 3: Cross multiply
    6,780.70x = 10,168.71 × 3,222.41
  4. Step 4: Simplify right side
    6,780.70x = 32,767,752.79
  5. Step 5: Solve for x
    x = 32,767,752.79/6,780.70
  6. Step 6: Final answer
    x = 4,832.50

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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.