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Finding the Fourth Proportional to 7,786.67, 10,745.66 and 4,249.67

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Solution

The fourth proportional to 7,786.67, 10,745.66 and 4,249.67 is: 5,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.67 : 10,745.66 = 4,249.67 : x
  2. Step 2: Convert to fraction form
    7,786.67/10,745.66 = 4,249.67/x
  3. Step 3: Cross multiply
    7,786.67x = 10,745.66 × 4,249.67
  4. Step 4: Simplify right side
    7,786.67x = 45,665,465.83
  5. Step 5: Solve for x
    x = 45,665,465.83/7,786.67
  6. Step 6: Final answer
    x = 5,864.57

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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.