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Finding the Fourth Proportional to 6,831.09, 10,249.95 and 2,448.87

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Solution

The fourth proportional to 6,831.09, 10,249.95 and 2,448.87 is: 3,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.09 : 10,249.95 = 2,448.87 : x
  2. Step 2: Convert to fraction form
    6,831.09/10,249.95 = 2,448.87/x
  3. Step 3: Cross multiply
    6,831.09x = 10,249.95 × 2,448.87
  4. Step 4: Simplify right side
    6,831.09x = 25,100,795.06
  5. Step 5: Solve for x
    x = 25,100,795.06/6,831.09
  6. Step 6: Final answer
    x = 3,674.49

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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.