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Finding the Fourth Proportional to 6,843.27, 10,273.41 and 6,811.68

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Solution

The fourth proportional to 6,843.27, 10,273.41 and 6,811.68 is: 10,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.27 : 10,273.41 = 6,811.68 : x
  2. Step 2: Convert to fraction form
    6,843.27/10,273.41 = 6,811.68/x
  3. Step 3: Cross multiply
    6,843.27x = 10,273.41 × 6,811.68
  4. Step 4: Simplify right side
    6,843.27x = 69,979,181.43
  5. Step 5: Solve for x
    x = 69,979,181.43/6,843.27
  6. Step 6: Final answer
    x = 10,225.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.