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Finding the Fourth Proportional to 7,249.57, 10,003.03 and 6,880.48

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Solution

The fourth proportional to 7,249.57, 10,003.03 and 6,880.48 is: 9,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.57 : 10,003.03 = 6,880.48 : x
  2. Step 2: Convert to fraction form
    7,249.57/10,003.03 = 6,880.48/x
  3. Step 3: Cross multiply
    7,249.57x = 10,003.03 × 6,880.48
  4. Step 4: Simplify right side
    7,249.57x = 68,825,647.85
  5. Step 5: Solve for x
    x = 68,825,647.85/7,249.57
  6. Step 6: Final answer
    x = 9,493.76

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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.