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Finding the Fourth Proportional to 6,464.65, 9,697.08 and 2,082.13

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Solution

The fourth proportional to 6,464.65, 9,697.08 and 2,082.13 is: 3,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.65 : 9,697.08 = 2,082.13 : x
  2. Step 2: Convert to fraction form
    6,464.65/9,697.08 = 2,082.13/x
  3. Step 3: Cross multiply
    6,464.65x = 9,697.08 × 2,082.13
  4. Step 4: Simplify right side
    6,464.65x = 20,190,581.18
  5. Step 5: Solve for x
    x = 20,190,581.18/6,464.65
  6. Step 6: Final answer
    x = 3,123.23

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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.