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Finding the Fourth Proportional to 9,481.24, 13,078.02 and 5,755.24

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Solution

The fourth proportional to 9,481.24, 13,078.02 and 5,755.24 is: 7,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.24 : 13,078.02 = 5,755.24 : x
  2. Step 2: Convert to fraction form
    9,481.24/13,078.02 = 5,755.24/x
  3. Step 3: Cross multiply
    9,481.24x = 13,078.02 × 5,755.24
  4. Step 4: Simplify right side
    9,481.24x = 75,267,143.82
  5. Step 5: Solve for x
    x = 75,267,143.82/9,481.24
  6. Step 6: Final answer
    x = 7,938.53

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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.