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Finding the Fourth Proportional to 27,189.30, 40,781.97 and 7,466.16

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Solution

The fourth proportional to 27,189.30, 40,781.97 and 7,466.16 is: 11,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189.30 : 40,781.97 = 7,466.16 : x
  2. Step 2: Convert to fraction form
    27,189.30/40,781.97 = 7,466.16/x
  3. Step 3: Cross multiply
    27,189.30x = 40,781.97 × 7,466.16
  4. Step 4: Simplify right side
    27,189.30x = 304,484,713.14
  5. Step 5: Solve for x
    x = 304,484,713.14/27,189.30
  6. Step 6: Final answer
    x = 11,198.70

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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.