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Finding the Fourth Proportional to 6,516.54, 9,769.68 and 3,008.79

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Solution

The fourth proportional to 6,516.54, 9,769.68 and 3,008.79 is: 4,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.54 : 9,769.68 = 3,008.79 : x
  2. Step 2: Convert to fraction form
    6,516.54/9,769.68 = 3,008.79/x
  3. Step 3: Cross multiply
    6,516.54x = 9,769.68 × 3,008.79
  4. Step 4: Simplify right side
    6,516.54x = 29,394,915.49
  5. Step 5: Solve for x
    x = 29,394,915.49/6,516.54
  6. Step 6: Final answer
    x = 4,510.82

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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.