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Finding the Fourth Proportional to 6,786.27, 9,359.87 and 5,843.70

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Solution

The fourth proportional to 6,786.27, 9,359.87 and 5,843.70 is: 8,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.27 : 9,359.87 = 5,843.70 : x
  2. Step 2: Convert to fraction form
    6,786.27/9,359.87 = 5,843.70/x
  3. Step 3: Cross multiply
    6,786.27x = 9,359.87 × 5,843.70
  4. Step 4: Simplify right side
    6,786.27x = 54,696,272.32
  5. Step 5: Solve for x
    x = 54,696,272.32/6,786.27
  6. Step 6: Final answer
    x = 8,059.84

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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.