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Finding the Fourth Proportional to 6,786.92, 9,366.81 and 4,134.71

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Solution

The fourth proportional to 6,786.92, 9,366.81 and 4,134.71 is: 5,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.92 : 9,366.81 = 4,134.71 : x
  2. Step 2: Convert to fraction form
    6,786.92/9,366.81 = 4,134.71/x
  3. Step 3: Cross multiply
    6,786.92x = 9,366.81 × 4,134.71
  4. Step 4: Simplify right side
    6,786.92x = 38,729,042.98
  5. Step 5: Solve for x
    x = 38,729,042.98/6,786.92
  6. Step 6: Final answer
    x = 5,706.42

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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.