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Finding the Fourth Proportional to 6,510.54, 9,766.26 and 2,614.94

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Solution

The fourth proportional to 6,510.54, 9,766.26 and 2,614.94 is: 3,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.54 : 9,766.26 = 2,614.94 : x
  2. Step 2: Convert to fraction form
    6,510.54/9,766.26 = 2,614.94/x
  3. Step 3: Cross multiply
    6,510.54x = 9,766.26 × 2,614.94
  4. Step 4: Simplify right side
    6,510.54x = 25,538,170.85
  5. Step 5: Solve for x
    x = 25,538,170.85/6,510.54
  6. Step 6: Final answer
    x = 3,922.59

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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.