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Finding the Fourth Proportional to 22,611.96, 33,912.54 and 9,464.58

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Solution

The fourth proportional to 22,611.96, 33,912.54 and 9,464.58 is: 14,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,611.96 : 33,912.54 = 9,464.58 : x
  2. Step 2: Convert to fraction form
    22,611.96/33,912.54 = 9,464.58/x
  3. Step 3: Cross multiply
    22,611.96x = 33,912.54 × 9,464.58
  4. Step 4: Simplify right side
    22,611.96x = 320,967,947.83
  5. Step 5: Solve for x
    x = 320,967,947.83/22,611.96
  6. Step 6: Final answer
    x = 14,194.61

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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.