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Finding the Fourth Proportional to 6,764.70, 10,148.92 and 2,817.81

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Solution

The fourth proportional to 6,764.70, 10,148.92 and 2,817.81 is: 4,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.70 : 10,148.92 = 2,817.81 : x
  2. Step 2: Convert to fraction form
    6,764.70/10,148.92 = 2,817.81/x
  3. Step 3: Cross multiply
    6,764.70x = 10,148.92 × 2,817.81
  4. Step 4: Simplify right side
    6,764.70x = 28,597,728.27
  5. Step 5: Solve for x
    x = 28,597,728.27/6,764.70
  6. Step 6: Final answer
    x = 4,227.49

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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.