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Finding the Fourth Proportional to 4,747.76, 7,115.52 and 2,277.44

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Solution

The fourth proportional to 4,747.76, 7,115.52 and 2,277.44 is: 3,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.76 : 7,115.52 = 2,277.44 : x
  2. Step 2: Convert to fraction form
    4,747.76/7,115.52 = 2,277.44/x
  3. Step 3: Cross multiply
    4,747.76x = 7,115.52 × 2,277.44
  4. Step 4: Simplify right side
    4,747.76x = 16,205,169.87
  5. Step 5: Solve for x
    x = 16,205,169.87/4,747.76
  6. Step 6: Final answer
    x = 3,413.22

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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.