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Finding the Fourth Proportional to 27,954.30, 41,919.30 and 9,227.10

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Solution

The fourth proportional to 27,954.30, 41,919.30 and 9,227.10 is: 13,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954.30 : 41,919.30 = 9,227.10 : x
  2. Step 2: Convert to fraction form
    27,954.30/41,919.30 = 9,227.10/x
  3. Step 3: Cross multiply
    27,954.30x = 41,919.30 × 9,227.10
  4. Step 4: Simplify right side
    27,954.30x = 386,793,573.03
  5. Step 5: Solve for x
    x = 386,793,573.03/27,954.30
  6. Step 6: Final answer
    x = 13,836.64

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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.