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Finding the Fourth Proportional to 27,662.45, 41,487.52 and 7,942.54

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Solution

The fourth proportional to 27,662.45, 41,487.52 and 7,942.54 is: 11,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.45 : 41,487.52 = 7,942.54 : x
  2. Step 2: Convert to fraction form
    27,662.45/41,487.52 = 7,942.54/x
  3. Step 3: Cross multiply
    27,662.45x = 41,487.52 × 7,942.54
  4. Step 4: Simplify right side
    27,662.45x = 329,516,287.10
  5. Step 5: Solve for x
    x = 329,516,287.10/27,662.45
  6. Step 6: Final answer
    x = 11,912.04

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1.5x scale

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.