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Finding the Fourth Proportional to 6,516.74, 9,763.76 and 3,391.97

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Solution

The fourth proportional to 6,516.74, 9,763.76 and 3,391.97 is: 5,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.74 : 9,763.76 = 3,391.97 : x
  2. Step 2: Convert to fraction form
    6,516.74/9,763.76 = 3,391.97/x
  3. Step 3: Cross multiply
    6,516.74x = 9,763.76 × 3,391.97
  4. Step 4: Simplify right side
    6,516.74x = 33,118,315.23
  5. Step 5: Solve for x
    x = 33,118,315.23/6,516.74
  6. Step 6: Final answer
    x = 5,082.04

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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.