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Finding the Fourth Proportional to 6,465.47, 9,696.96 and 2,082.96

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Solution

The fourth proportional to 6,465.47, 9,696.96 and 2,082.96 is: 3,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.47 : 9,696.96 = 2,082.96 : x
  2. Step 2: Convert to fraction form
    6,465.47/9,696.96 = 2,082.96/x
  3. Step 3: Cross multiply
    6,465.47x = 9,696.96 × 2,082.96
  4. Step 4: Simplify right side
    6,465.47x = 20,198,379.80
  5. Step 5: Solve for x
    x = 20,198,379.80/6,465.47
  6. Step 6: Final answer
    x = 3,124.04

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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.