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Finding the Fourth Proportional to 10,493.88, 15,738.54 and 3,097.08

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Solution

The fourth proportional to 10,493.88, 15,738.54 and 3,097.08 is: 4,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.88 : 15,738.54 = 3,097.08 : x
  2. Step 2: Convert to fraction form
    10,493.88/15,738.54 = 3,097.08/x
  3. Step 3: Cross multiply
    10,493.88x = 15,738.54 × 3,097.08
  4. Step 4: Simplify right side
    10,493.88x = 48,743,517.46
  5. Step 5: Solve for x
    x = 48,743,517.46/10,493.88
  6. Step 6: Final answer
    x = 4,644.95

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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.