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Finding the Fourth Proportional to 11,766.20, 17,633.10 and 7,806.20

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Solution

The fourth proportional to 11,766.20, 17,633.10 and 7,806.20 is: 11,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.20 : 17,633.10 = 7,806.20 : x
  2. Step 2: Convert to fraction form
    11,766.20/17,633.10 = 7,806.20/x
  3. Step 3: Cross multiply
    11,766.20x = 17,633.10 × 7,806.20
  4. Step 4: Simplify right side
    11,766.20x = 137,647,505.22
  5. Step 5: Solve for x
    x = 137,647,505.22/11,766.20
  6. Step 6: Final answer
    x = 11,698.55

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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.