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Finding the Fourth Proportional to 22,394.30, 33,584.09 and 9,914.06

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Solution

The fourth proportional to 22,394.30, 33,584.09 and 9,914.06 is: 14,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,394.30 : 33,584.09 = 9,914.06 : x
  2. Step 2: Convert to fraction form
    22,394.30/33,584.09 = 9,914.06/x
  3. Step 3: Cross multiply
    22,394.30x = 33,584.09 × 9,914.06
  4. Step 4: Simplify right side
    22,394.30x = 332,954,717.70
  5. Step 5: Solve for x
    x = 332,954,717.70/22,394.30
  6. Step 6: Final answer
    x = 14,867.84

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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.