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Finding the Fourth Proportional to 7,082.64, 10,620.72 and 2,464.56

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Solution

The fourth proportional to 7,082.64, 10,620.72 and 2,464.56 is: 3,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.64 : 10,620.72 = 2,464.56 : x
  2. Step 2: Convert to fraction form
    7,082.64/10,620.72 = 2,464.56/x
  3. Step 3: Cross multiply
    7,082.64x = 10,620.72 × 2,464.56
  4. Step 4: Simplify right side
    7,082.64x = 26,175,401.68
  5. Step 5: Solve for x
    x = 26,175,401.68/7,082.64
  6. Step 6: Final answer
    x = 3,695.71

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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.