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Finding the Fourth Proportional to 7,644, 11,466.54 and 3,027

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Solution

The fourth proportional to 7,644, 11,466.54 and 3,027 is: 4,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644 : 11,466.54 = 3,027 : x
  2. Step 2: Convert to fraction form
    7,644/11,466.54 = 3,027/x
  3. Step 3: Cross multiply
    7,644x = 11,466.54 × 3,027
  4. Step 4: Simplify right side
    7,644x = 34,709,216.58
  5. Step 5: Solve for x
    x = 34,709,216.58/7,644
  6. Step 6: Final answer
    x = 4,540.71

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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.