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Finding the Fourth Proportional to 11,591.36, 17,387.04 and 4,661

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Solution

The fourth proportional to 11,591.36, 17,387.04 and 4,661 is: 6,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.36 : 17,387.04 = 4,661 : x
  2. Step 2: Convert to fraction form
    11,591.36/17,387.04 = 4,661/x
  3. Step 3: Cross multiply
    11,591.36x = 17,387.04 × 4,661
  4. Step 4: Simplify right side
    11,591.36x = 81,040,993.44
  5. Step 5: Solve for x
    x = 81,040,993.44/11,591.36
  6. Step 6: Final answer
    x = 6,991.50

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1.5x scale

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.