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Finding the Fourth Proportional to 7,082.12, 9,773.22 and 4,097.72

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Solution

The fourth proportional to 7,082.12, 9,773.22 and 4,097.72 is: 5,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.12 : 9,773.22 = 4,097.72 : x
  2. Step 2: Convert to fraction form
    7,082.12/9,773.22 = 4,097.72/x
  3. Step 3: Cross multiply
    7,082.12x = 9,773.22 × 4,097.72
  4. Step 4: Simplify right side
    7,082.12x = 40,047,919.06
  5. Step 5: Solve for x
    x = 40,047,919.06/7,082.12
  6. Step 6: Final answer
    x = 5,654.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.