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Finding the Fourth Proportional to 11,189.64, 16,786.44 and 4,612.22

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Solution

The fourth proportional to 11,189.64, 16,786.44 and 4,612.22 is: 6,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.64 : 16,786.44 = 4,612.22 : x
  2. Step 2: Convert to fraction form
    11,189.64/16,786.44 = 4,612.22/x
  3. Step 3: Cross multiply
    11,189.64x = 16,786.44 × 4,612.22
  4. Step 4: Simplify right side
    11,189.64x = 77,422,754.30
  5. Step 5: Solve for x
    x = 77,422,754.30/11,189.64
  6. Step 6: Final answer
    x = 6,919.15

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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.