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Finding the Fourth Proportional to 27,609.63, 41,415.81 and 7,891.08

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Solution

The fourth proportional to 27,609.63, 41,415.81 and 7,891.08 is: 11,837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,609.63 : 41,415.81 = 7,891.08 : x
  2. Step 2: Convert to fraction form
    27,609.63/41,415.81 = 7,891.08/x
  3. Step 3: Cross multiply
    27,609.63x = 41,415.81 × 7,891.08
  4. Step 4: Simplify right side
    27,609.63x = 326,815,469.97
  5. Step 5: Solve for x
    x = 326,815,469.97/27,609.63
  6. Step 6: Final answer
    x = 11,837.01

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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.