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Finding the Fourth Proportional to 11,584.64, 17,379.84 and 3,794.24

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Solution

The fourth proportional to 11,584.64, 17,379.84 and 3,794.24 is: 5,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.64 : 17,379.84 = 3,794.24 : x
  2. Step 2: Convert to fraction form
    11,584.64/17,379.84 = 3,794.24/x
  3. Step 3: Cross multiply
    11,584.64x = 17,379.84 × 3,794.24
  4. Step 4: Simplify right side
    11,584.64x = 65,943,284.12
  5. Step 5: Solve for x
    x = 65,943,284.12/11,584.64
  6. Step 6: Final answer
    x = 5,692.30

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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.