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Finding the Fourth Proportional to 6,786.99, 9,371.76 and 5,105.49

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Solution

The fourth proportional to 6,786.99, 9,371.76 and 5,105.49 is: 7,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.99 : 9,371.76 = 5,105.49 : x
  2. Step 2: Convert to fraction form
    6,786.99/9,371.76 = 5,105.49/x
  3. Step 3: Cross multiply
    6,786.99x = 9,371.76 × 5,105.49
  4. Step 4: Simplify right side
    6,786.99x = 47,847,372.67
  5. Step 5: Solve for x
    x = 47,847,372.67/6,786.99
  6. Step 6: Final answer
    x = 7,049.86

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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.