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Finding the Fourth Proportional to 6,831.38, 9,428.02 and 4,180.56

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Solution

The fourth proportional to 6,831.38, 9,428.02 and 4,180.56 is: 5,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.38 : 9,428.02 = 4,180.56 : x
  2. Step 2: Convert to fraction form
    6,831.38/9,428.02 = 4,180.56/x
  3. Step 3: Cross multiply
    6,831.38x = 9,428.02 × 4,180.56
  4. Step 4: Simplify right side
    6,831.38x = 39,414,403.29
  5. Step 5: Solve for x
    x = 39,414,403.29/6,831.38
  6. Step 6: Final answer
    x = 5,769.61

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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.