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Finding the Fourth Proportional to 20,132.70, 30,198.90 and 6,092.70

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Solution

The fourth proportional to 20,132.70, 30,198.90 and 6,092.70 is: 9,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.70 : 30,198.90 = 6,092.70 : x
  2. Step 2: Convert to fraction form
    20,132.70/30,198.90 = 6,092.70/x
  3. Step 3: Cross multiply
    20,132.70x = 30,198.90 × 6,092.70
  4. Step 4: Simplify right side
    20,132.70x = 183,992,838.03
  5. Step 5: Solve for x
    x = 183,992,838.03/20,132.70
  6. Step 6: Final answer
    x = 9,139.00

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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.