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Finding the Fourth Proportional to 20,186, 30,279.72 and 5,395.76

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Solution

The fourth proportional to 20,186, 30,279.72 and 5,395.76 is: 8,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186 : 30,279.72 = 5,395.76 : x
  2. Step 2: Convert to fraction form
    20,186/30,279.72 = 5,395.76/x
  3. Step 3: Cross multiply
    20,186x = 30,279.72 × 5,395.76
  4. Step 4: Simplify right side
    20,186x = 163,382,101.99
  5. Step 5: Solve for x
    x = 163,382,101.99/20,186
  6. Step 6: Final answer
    x = 8,093.83

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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.