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Finding the Fourth Proportional to 18,514.18, 27,763.80 and 6,824.80

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Solution

The fourth proportional to 18,514.18, 27,763.80 and 6,824.80 is: 10,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514.18 : 27,763.80 = 6,824.80 : x
  2. Step 2: Convert to fraction form
    18,514.18/27,763.80 = 6,824.80/x
  3. Step 3: Cross multiply
    18,514.18x = 27,763.80 × 6,824.80
  4. Step 4: Simplify right side
    18,514.18x = 189,482,382.24
  5. Step 5: Solve for x
    x = 189,482,382.24/18,514.18
  6. Step 6: Final answer
    x = 10,234.45

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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.