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Finding the Fourth Proportional to 6,464.59, 9,696.89 and 2,082.04

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Solution

The fourth proportional to 6,464.59, 9,696.89 and 2,082.04 is: 3,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.59 : 9,696.89 = 2,082.04 : x
  2. Step 2: Convert to fraction form
    6,464.59/9,696.89 = 2,082.04/x
  3. Step 3: Cross multiply
    6,464.59x = 9,696.89 × 2,082.04
  4. Step 4: Simplify right side
    6,464.59x = 20,189,312.86
  5. Step 5: Solve for x
    x = 20,189,312.86/6,464.59
  6. Step 6: Final answer
    x = 3,123.06

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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.