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Finding the Fourth Proportional to 6,794.61, 10,194.84 and 3,676.80

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Solution

The fourth proportional to 6,794.61, 10,194.84 and 3,676.80 is: 5,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.61 : 10,194.84 = 3,676.80 : x
  2. Step 2: Convert to fraction form
    6,794.61/10,194.84 = 3,676.80/x
  3. Step 3: Cross multiply
    6,794.61x = 10,194.84 × 3,676.80
  4. Step 4: Simplify right side
    6,794.61x = 37,484,387.71
  5. Step 5: Solve for x
    x = 37,484,387.71/6,794.61
  6. Step 6: Final answer
    x = 5,516.78

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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.