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Finding the Fourth Proportional to 18,514.68, 27,773.90 and 6,825.16

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Solution

The fourth proportional to 18,514.68, 27,773.90 and 6,825.16 is: 10,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514.68 : 27,773.90 = 6,825.16 : x
  2. Step 2: Convert to fraction form
    18,514.68/27,773.90 = 6,825.16/x
  3. Step 3: Cross multiply
    18,514.68x = 27,773.90 × 6,825.16
  4. Step 4: Simplify right side
    18,514.68x = 189,561,311.32
  5. Step 5: Solve for x
    x = 189,561,311.32/18,514.68
  6. Step 6: Final answer
    x = 10,238.43

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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.