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Finding the Fourth Proportional to 9,204.96, 13,795.92 and 7,249.44

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Solution

The fourth proportional to 9,204.96, 13,795.92 and 7,249.44 is: 10,865.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.96 : 13,795.92 = 7,249.44 : x
  2. Step 2: Convert to fraction form
    9,204.96/13,795.92 = 7,249.44/x
  3. Step 3: Cross multiply
    9,204.96x = 13,795.92 × 7,249.44
  4. Step 4: Simplify right side
    9,204.96x = 100,012,694.28
  5. Step 5: Solve for x
    x = 100,012,694.28/9,204.96
  6. Step 6: Final answer
    x = 10,865.09

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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.