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Finding the Fourth Proportional to 7,732.54, 11,584.23 and 5,992.66

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Solution

The fourth proportional to 7,732.54, 11,584.23 and 5,992.66 is: 8,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.54 : 11,584.23 = 5,992.66 : x
  2. Step 2: Convert to fraction form
    7,732.54/11,584.23 = 5,992.66/x
  3. Step 3: Cross multiply
    7,732.54x = 11,584.23 × 5,992.66
  4. Step 4: Simplify right side
    7,732.54x = 69,420,351.75
  5. Step 5: Solve for x
    x = 69,420,351.75/7,732.54
  6. Step 6: Final answer
    x = 8,977.69

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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.