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Finding the Fourth Proportional to 9,183, 13,774.56 and 3,027

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Solution

The fourth proportional to 9,183, 13,774.56 and 3,027 is: 4,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183 : 13,774.56 = 3,027 : x
  2. Step 2: Convert to fraction form
    9,183/13,774.56 = 3,027/x
  3. Step 3: Cross multiply
    9,183x = 13,774.56 × 3,027
  4. Step 4: Simplify right side
    9,183x = 41,695,593.12
  5. Step 5: Solve for x
    x = 41,695,593.12/9,183
  6. Step 6: Final answer
    x = 4,540.52

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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.