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Finding the Fourth Proportional to 8,194.87, 11,304.93 and 5,361.09

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Solution

The fourth proportional to 8,194.87, 11,304.93 and 5,361.09 is: 7,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.87 : 11,304.93 = 5,361.09 : x
  2. Step 2: Convert to fraction form
    8,194.87/11,304.93 = 5,361.09/x
  3. Step 3: Cross multiply
    8,194.87x = 11,304.93 × 5,361.09
  4. Step 4: Simplify right side
    8,194.87x = 60,606,747.17
  5. Step 5: Solve for x
    x = 60,606,747.17/8,194.87
  6. Step 6: Final answer
    x = 7,395.69

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1.5x scale

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.