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Finding the Fourth Proportional to 13,841.82, 20,768.81 and 7,266.47

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Solution

The fourth proportional to 13,841.82, 20,768.81 and 7,266.47 is: 10,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.82 : 20,768.81 = 7,266.47 : x
  2. Step 2: Convert to fraction form
    13,841.82/20,768.81 = 7,266.47/x
  3. Step 3: Cross multiply
    13,841.82x = 20,768.81 × 7,266.47
  4. Step 4: Simplify right side
    13,841.82x = 150,915,794.62
  5. Step 5: Solve for x
    x = 150,915,794.62/13,841.82
  6. Step 6: Final answer
    x = 10,902.89

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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.