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Finding the Fourth Proportional to 17,198.30, 25,797.54 and 7,831.77

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Solution

The fourth proportional to 17,198.30, 25,797.54 and 7,831.77 is: 11,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.30 : 25,797.54 = 7,831.77 : x
  2. Step 2: Convert to fraction form
    17,198.30/25,797.54 = 7,831.77/x
  3. Step 3: Cross multiply
    17,198.30x = 25,797.54 × 7,831.77
  4. Step 4: Simplify right side
    17,198.30x = 202,040,399.85
  5. Step 5: Solve for x
    x = 202,040,399.85/17,198.30
  6. Step 6: Final answer
    x = 11,747.70

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1.5x scale

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.