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Finding the Fourth Proportional to 6,493.68, 9,743.16 and 3,028.80

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Solution

The fourth proportional to 6,493.68, 9,743.16 and 3,028.80 is: 4,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.68 : 9,743.16 = 3,028.80 : x
  2. Step 2: Convert to fraction form
    6,493.68/9,743.16 = 3,028.80/x
  3. Step 3: Cross multiply
    6,493.68x = 9,743.16 × 3,028.80
  4. Step 4: Simplify right side
    6,493.68x = 29,510,083.01
  5. Step 5: Solve for x
    x = 29,510,083.01/6,493.68
  6. Step 6: Final answer
    x = 4,544.43

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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.