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Finding the Fourth Proportional to 27,649.74, 41,474.64 and 6,873.24

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Solution

The fourth proportional to 27,649.74, 41,474.64 and 6,873.24 is: 10,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.74 : 41,474.64 = 6,873.24 : x
  2. Step 2: Convert to fraction form
    27,649.74/41,474.64 = 6,873.24/x
  3. Step 3: Cross multiply
    27,649.74x = 41,474.64 × 6,873.24
  4. Step 4: Simplify right side
    27,649.74x = 285,065,335.94
  5. Step 5: Solve for x
    x = 285,065,335.94/27,649.74
  6. Step 6: Final answer
    x = 10,309.87

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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.