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Finding the Fourth Proportional to 11,503.76, 17,255.50 and 3,183.71

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Solution

The fourth proportional to 11,503.76, 17,255.50 and 3,183.71 is: 4,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.76 : 17,255.50 = 3,183.71 : x
  2. Step 2: Convert to fraction form
    11,503.76/17,255.50 = 3,183.71/x
  3. Step 3: Cross multiply
    11,503.76x = 17,255.50 × 3,183.71
  4. Step 4: Simplify right side
    11,503.76x = 54,936,413.67
  5. Step 5: Solve for x
    x = 54,936,413.67/11,503.76
  6. Step 6: Final answer
    x = 4,775.52

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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.