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Finding the Fourth Proportional to 27,884.24, 41,831.80 and 8,163.12

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Solution

The fourth proportional to 27,884.24, 41,831.80 and 8,163.12 is: 12,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.24 : 41,831.80 = 8,163.12 : x
  2. Step 2: Convert to fraction form
    27,884.24/41,831.80 = 8,163.12/x
  3. Step 3: Cross multiply
    27,884.24x = 41,831.80 × 8,163.12
  4. Step 4: Simplify right side
    27,884.24x = 341,478,003.22
  5. Step 5: Solve for x
    x = 341,478,003.22/27,884.24
  6. Step 6: Final answer
    x = 12,246.27

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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.