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Finding the Fourth Proportional to 9,382.74, 14,078.97 and 6,806.94

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Solution

The fourth proportional to 9,382.74, 14,078.97 and 6,806.94 is: 10,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.74 : 14,078.97 = 6,806.94 : x
  2. Step 2: Convert to fraction form
    9,382.74/14,078.97 = 6,806.94/x
  3. Step 3: Cross multiply
    9,382.74x = 14,078.97 × 6,806.94
  4. Step 4: Simplify right side
    9,382.74x = 95,834,704.05
  5. Step 5: Solve for x
    x = 95,834,704.05/9,382.74
  6. Step 6: Final answer
    x = 10,213.94

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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.