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Finding the Fourth Proportional to 12,196.73, 16,831.82 and 6,891.44

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Solution

The fourth proportional to 12,196.73, 16,831.82 and 6,891.44 is: 9,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.73 : 16,831.82 = 6,891.44 : x
  2. Step 2: Convert to fraction form
    12,196.73/16,831.82 = 6,891.44/x
  3. Step 3: Cross multiply
    12,196.73x = 16,831.82 × 6,891.44
  4. Step 4: Simplify right side
    12,196.73x = 115,995,477.62
  5. Step 5: Solve for x
    x = 115,995,477.62/12,196.73
  6. Step 6: Final answer
    x = 9,510.38

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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.