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Finding the Fourth Proportional to 11,855.80, 17,766.78 and 8,711.20

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Solution

The fourth proportional to 11,855.80, 17,766.78 and 8,711.20 is: 13,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.80 : 17,766.78 = 8,711.20 : x
  2. Step 2: Convert to fraction form
    11,855.80/17,766.78 = 8,711.20/x
  3. Step 3: Cross multiply
    11,855.80x = 17,766.78 × 8,711.20
  4. Step 4: Simplify right side
    11,855.80x = 154,769,973.94
  5. Step 5: Solve for x
    x = 154,769,973.94/11,855.80
  6. Step 6: Final answer
    x = 13,054.37

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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.