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Finding the Fourth Proportional to 12,361.72, 17,046.39 and 8,589.16

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Solution

The fourth proportional to 12,361.72, 17,046.39 and 8,589.16 is: 11,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.72 : 17,046.39 = 8,589.16 : x
  2. Step 2: Convert to fraction form
    12,361.72/17,046.39 = 8,589.16/x
  3. Step 3: Cross multiply
    12,361.72x = 17,046.39 × 8,589.16
  4. Step 4: Simplify right side
    12,361.72x = 146,414,171.13
  5. Step 5: Solve for x
    x = 146,414,171.13/12,361.72
  6. Step 6: Final answer
    x = 11,844.16

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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.