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Finding the Fourth Proportional to 27,651.20, 41,476.80 and 9,183.20

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Solution

The fourth proportional to 27,651.20, 41,476.80 and 9,183.20 is: 13,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,651.20 : 41,476.80 = 9,183.20 : x
  2. Step 2: Convert to fraction form
    27,651.20/41,476.80 = 9,183.20/x
  3. Step 3: Cross multiply
    27,651.20x = 41,476.80 × 9,183.20
  4. Step 4: Simplify right side
    27,651.20x = 380,889,749.76
  5. Step 5: Solve for x
    x = 380,889,749.76/27,651.20
  6. Step 6: Final answer
    x = 13,774.80

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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.