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Finding the Fourth Proportional to 10,093, 15,139.66 and 2,797

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Solution

The fourth proportional to 10,093, 15,139.66 and 2,797 is: 4,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093 : 15,139.66 = 2,797 : x
  2. Step 2: Convert to fraction form
    10,093/15,139.66 = 2,797/x
  3. Step 3: Cross multiply
    10,093x = 15,139.66 × 2,797
  4. Step 4: Simplify right side
    10,093x = 42,345,629.02
  5. Step 5: Solve for x
    x = 42,345,629.02/10,093
  6. Step 6: Final answer
    x = 4,195.54

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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.