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Finding the Fourth Proportional to 6,046.36, 9,069.12 and 3,082

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Solution

The fourth proportional to 6,046.36, 9,069.12 and 3,082 is: 4,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.36 : 9,069.12 = 3,082 : x
  2. Step 2: Convert to fraction form
    6,046.36/9,069.12 = 3,082/x
  3. Step 3: Cross multiply
    6,046.36x = 9,069.12 × 3,082
  4. Step 4: Simplify right side
    6,046.36x = 27,951,027.84
  5. Step 5: Solve for x
    x = 27,951,027.84/6,046.36
  6. Step 6: Final answer
    x = 4,622.79

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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.