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Finding the Fourth Proportional to 6,493.44, 9,737.28 and 4,028.16

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Solution

The fourth proportional to 6,493.44, 9,737.28 and 4,028.16 is: 6,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.44 : 9,737.28 = 4,028.16 : x
  2. Step 2: Convert to fraction form
    6,493.44/9,737.28 = 4,028.16/x
  3. Step 3: Cross multiply
    6,493.44x = 9,737.28 × 4,028.16
  4. Step 4: Simplify right side
    6,493.44x = 39,223,321.80
  5. Step 5: Solve for x
    x = 39,223,321.80/6,493.44
  6. Step 6: Final answer
    x = 6,040.45

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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.