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Finding the Fourth Proportional to 12,196.70, 16,831.04 and 6,891.20

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Solution

The fourth proportional to 12,196.70, 16,831.04 and 6,891.20 is: 9,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.70 : 16,831.04 = 6,891.20 : x
  2. Step 2: Convert to fraction form
    12,196.70/16,831.04 = 6,891.20/x
  3. Step 3: Cross multiply
    12,196.70x = 16,831.04 × 6,891.20
  4. Step 4: Simplify right side
    12,196.70x = 115,986,062.85
  5. Step 5: Solve for x
    x = 115,986,062.85/12,196.70
  6. Step 6: Final answer
    x = 9,509.63

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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.