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Finding the Fourth Proportional to 12,894.69, 17,794.49 and 7,229.44

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Solution

The fourth proportional to 12,894.69, 17,794.49 and 7,229.44 is: 9,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.69 : 17,794.49 = 7,229.44 : x
  2. Step 2: Convert to fraction form
    12,894.69/17,794.49 = 7,229.44/x
  3. Step 3: Cross multiply
    12,894.69x = 17,794.49 × 7,229.44
  4. Step 4: Simplify right side
    12,894.69x = 128,644,197.79
  5. Step 5: Solve for x
    x = 128,644,197.79/12,894.69
  6. Step 6: Final answer
    x = 9,976.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.