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Finding the Fourth Proportional to 10,493.14, 15,745.17 and 4,648.38

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Solution

The fourth proportional to 10,493.14, 15,745.17 and 4,648.38 is: 6,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.14 : 15,745.17 = 4,648.38 : x
  2. Step 2: Convert to fraction form
    10,493.14/15,745.17 = 4,648.38/x
  3. Step 3: Cross multiply
    10,493.14x = 15,745.17 × 4,648.38
  4. Step 4: Simplify right side
    10,493.14x = 73,189,431.36
  5. Step 5: Solve for x
    x = 73,189,431.36/10,493.14
  6. Step 6: Final answer
    x = 6,974.98

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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.