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Finding the Fourth Proportional to 20,143.98, 30,208.74 and 7,660.68

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Solution

The fourth proportional to 20,143.98, 30,208.74 and 7,660.68 is: 11,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.98 : 30,208.74 = 7,660.68 : x
  2. Step 2: Convert to fraction form
    20,143.98/30,208.74 = 7,660.68/x
  3. Step 3: Cross multiply
    20,143.98x = 30,208.74 × 7,660.68
  4. Step 4: Simplify right side
    20,143.98x = 231,419,490.34
  5. Step 5: Solve for x
    x = 231,419,490.34/20,143.98
  6. Step 6: Final answer
    x = 11,488.27

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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.