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Finding the Fourth Proportional to 9,151.78, 13,727.67 and 2,226.22

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Solution

The fourth proportional to 9,151.78, 13,727.67 and 2,226.22 is: 3,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.78 : 13,727.67 = 2,226.22 : x
  2. Step 2: Convert to fraction form
    9,151.78/13,727.67 = 2,226.22/x
  3. Step 3: Cross multiply
    9,151.78x = 13,727.67 × 2,226.22
  4. Step 4: Simplify right side
    9,151.78x = 30,560,813.51
  5. Step 5: Solve for x
    x = 30,560,813.51/9,151.78
  6. Step 6: Final answer
    x = 3,339.33

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Similar ratio
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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.