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Finding the Fourth Proportional to 17,793.70, 24,553.16 and 9,834.84

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Solution

The fourth proportional to 17,793.70, 24,553.16 and 9,834.84 is: 13,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,793.70 : 24,553.16 = 9,834.84 : x
  2. Step 2: Convert to fraction form
    17,793.70/24,553.16 = 9,834.84/x
  3. Step 3: Cross multiply
    17,793.70x = 24,553.16 × 9,834.84
  4. Step 4: Simplify right side
    17,793.70x = 241,476,400.09
  5. Step 5: Solve for x
    x = 241,476,400.09/17,793.70
  6. Step 6: Final answer
    x = 13,570.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.