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Finding the Fourth Proportional to 6,993, 10,493.62 and 3,097.44

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Solution

The fourth proportional to 6,993, 10,493.62 and 3,097.44 is: 4,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993 : 10,493.62 = 3,097.44 : x
  2. Step 2: Convert to fraction form
    6,993/10,493.62 = 3,097.44/x
  3. Step 3: Cross multiply
    6,993x = 10,493.62 × 3,097.44
  4. Step 4: Simplify right side
    6,993x = 32,503,350.59
  5. Step 5: Solve for x
    x = 32,503,350.59/6,993
  6. Step 6: Final answer
    x = 4,647.98

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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.