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Finding the Fourth Proportional to 6,991.39, 10,490.74 and 2,831.84

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Solution

The fourth proportional to 6,991.39, 10,490.74 and 2,831.84 is: 4,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.39 : 10,490.74 = 2,831.84 : x
  2. Step 2: Convert to fraction form
    6,991.39/10,490.74 = 2,831.84/x
  3. Step 3: Cross multiply
    6,991.39x = 10,490.74 × 2,831.84
  4. Step 4: Simplify right side
    6,991.39x = 29,708,037.63
  5. Step 5: Solve for x
    x = 29,708,037.63/6,991.39
  6. Step 6: Final answer
    x = 4,249.23

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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.