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Finding the Fourth Proportional to 27,993.12, 41,986.44 and 7,218.24

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Solution

The fourth proportional to 27,993.12, 41,986.44 and 7,218.24 is: 10,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993.12 : 41,986.44 = 7,218.24 : x
  2. Step 2: Convert to fraction form
    27,993.12/41,986.44 = 7,218.24/x
  3. Step 3: Cross multiply
    27,993.12x = 41,986.44 × 7,218.24
  4. Step 4: Simplify right side
    27,993.12x = 303,068,200.67
  5. Step 5: Solve for x
    x = 303,068,200.67/27,993.12
  6. Step 6: Final answer
    x = 10,826.52

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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.