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Finding the Fourth Proportional to 6,464.68, 9,697.02 and 2,082.48

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Solution

The fourth proportional to 6,464.68, 9,697.02 and 2,082.48 is: 3,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.68 : 9,697.02 = 2,082.48 : x
  2. Step 2: Convert to fraction form
    6,464.68/9,697.02 = 2,082.48/x
  3. Step 3: Cross multiply
    6,464.68x = 9,697.02 × 2,082.48
  4. Step 4: Simplify right side
    6,464.68x = 20,193,850.21
  5. Step 5: Solve for x
    x = 20,193,850.21/6,464.68
  6. Step 6: Final answer
    x = 3,123.72

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Double scale
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Similar ratio
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1.5x scale

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.