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Finding the Fourth Proportional to 12,794, 19,192.10 and 3,560

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Solution

The fourth proportional to 12,794, 19,192.10 and 3,560 is: 5,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794 : 19,192.10 = 3,560 : x
  2. Step 2: Convert to fraction form
    12,794/19,192.10 = 3,560/x
  3. Step 3: Cross multiply
    12,794x = 19,192.10 × 3,560
  4. Step 4: Simplify right side
    12,794x = 68,323,876
  5. Step 5: Solve for x
    x = 68,323,876/12,794
  6. Step 6: Final answer
    x = 5,340.31

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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.