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Finding the Fourth Proportional to 11,442.75, 15,791.24 and 6,474.75

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Solution

The fourth proportional to 11,442.75, 15,791.24 and 6,474.75 is: 8,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.75 : 15,791.24 = 6,474.75 : x
  2. Step 2: Convert to fraction form
    11,442.75/15,791.24 = 6,474.75/x
  3. Step 3: Cross multiply
    11,442.75x = 15,791.24 × 6,474.75
  4. Step 4: Simplify right side
    11,442.75x = 102,244,298.82
  5. Step 5: Solve for x
    x = 102,244,298.82/11,442.75
  6. Step 6: Final answer
    x = 8,935.29

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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.