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Finding the Fourth Proportional to 7,786.75, 10,745.76 and 4,249.97

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Solution

The fourth proportional to 7,786.75, 10,745.76 and 4,249.97 is: 5,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.75 : 10,745.76 = 4,249.97 : x
  2. Step 2: Convert to fraction form
    7,786.75/10,745.76 = 4,249.97/x
  3. Step 3: Cross multiply
    7,786.75x = 10,745.76 × 4,249.97
  4. Step 4: Simplify right side
    7,786.75x = 45,669,157.63
  5. Step 5: Solve for x
    x = 45,669,157.63/7,786.75
  6. Step 6: Final answer
    x = 5,864.98

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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.