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Finding the Fourth Proportional to 6,544.05, 9,803.11 and 3,083.73

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Solution

The fourth proportional to 6,544.05, 9,803.11 and 3,083.73 is: 4,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.05 : 9,803.11 = 3,083.73 : x
  2. Step 2: Convert to fraction form
    6,544.05/9,803.11 = 3,083.73/x
  3. Step 3: Cross multiply
    6,544.05x = 9,803.11 × 3,083.73
  4. Step 4: Simplify right side
    6,544.05x = 30,230,144.40
  5. Step 5: Solve for x
    x = 30,230,144.40/6,544.05
  6. Step 6: Final answer
    x = 4,619.49

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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.