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Finding the Fourth Proportional to 9,198.54, 13,755.42 and 6,831.09

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Solution

The fourth proportional to 9,198.54, 13,755.42 and 6,831.09 is: 10,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.54 : 13,755.42 = 6,831.09 : x
  2. Step 2: Convert to fraction form
    9,198.54/13,755.42 = 6,831.09/x
  3. Step 3: Cross multiply
    9,198.54x = 13,755.42 × 6,831.09
  4. Step 4: Simplify right side
    9,198.54x = 93,964,512.01
  5. Step 5: Solve for x
    x = 93,964,512.01/9,198.54
  6. Step 6: Final answer
    x = 10,215.16

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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.