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Finding the Fourth Proportional to 11,770.67, 17,632.91 and 6,829.94

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Solution

The fourth proportional to 11,770.67, 17,632.91 and 6,829.94 is: 10,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.67 : 17,632.91 = 6,829.94 : x
  2. Step 2: Convert to fraction form
    11,770.67/17,632.91 = 6,829.94/x
  3. Step 3: Cross multiply
    11,770.67x = 17,632.91 × 6,829.94
  4. Step 4: Simplify right side
    11,770.67x = 120,431,778.48
  5. Step 5: Solve for x
    x = 120,431,778.48/11,770.67
  6. Step 6: Final answer
    x = 10,231.51

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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.