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Finding the Fourth Proportional to 22,538.84, 33,813.78 and 7,747.96

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Solution

The fourth proportional to 22,538.84, 33,813.78 and 7,747.96 is: 11,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.84 : 33,813.78 = 7,747.96 : x
  2. Step 2: Convert to fraction form
    22,538.84/33,813.78 = 7,747.96/x
  3. Step 3: Cross multiply
    22,538.84x = 33,813.78 × 7,747.96
  4. Step 4: Simplify right side
    22,538.84x = 261,987,814.89
  5. Step 5: Solve for x
    x = 261,987,814.89/22,538.84
  6. Step 6: Final answer
    x = 11,623.84

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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.