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Finding the Fourth Proportional to 6,493.94, 9,738.03 and 4,028.66

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Solution

The fourth proportional to 6,493.94, 9,738.03 and 4,028.66 is: 6,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.94 : 9,738.03 = 4,028.66 : x
  2. Step 2: Convert to fraction form
    6,493.94/9,738.03 = 4,028.66/x
  3. Step 3: Cross multiply
    6,493.94x = 9,738.03 × 4,028.66
  4. Step 4: Simplify right side
    6,493.94x = 39,231,211.94
  5. Step 5: Solve for x
    x = 39,231,211.94/6,493.94
  6. Step 6: Final answer
    x = 6,041.20

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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.