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Finding the Fourth Proportional to 27,164.10, 40,754.64 and 8,189.46

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Solution

The fourth proportional to 27,164.10, 40,754.64 and 8,189.46 is: 12,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.10 : 40,754.64 = 8,189.46 : x
  2. Step 2: Convert to fraction form
    27,164.10/40,754.64 = 8,189.46/x
  3. Step 3: Cross multiply
    27,164.10x = 40,754.64 × 8,189.46
  4. Step 4: Simplify right side
    27,164.10x = 333,758,494.09
  5. Step 5: Solve for x
    x = 333,758,494.09/27,164.10
  6. Step 6: Final answer
    x = 12,286.75

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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.