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Finding the Fourth Proportional to 5,163.15, 7,734.77 and 3,084.82

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Solution

The fourth proportional to 5,163.15, 7,734.77 and 3,084.82 is: 4,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.15 : 7,734.77 = 3,084.82 : x
  2. Step 2: Convert to fraction form
    5,163.15/7,734.77 = 3,084.82/x
  3. Step 3: Cross multiply
    5,163.15x = 7,734.77 × 3,084.82
  4. Step 4: Simplify right side
    5,163.15x = 23,860,334.52
  5. Step 5: Solve for x
    x = 23,860,334.52/5,163.15
  6. Step 6: Final answer
    x = 4,621.28

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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.