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Finding the Fourth Proportional to 20,098.42, 30,154.94 and 6,952.12

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Solution

The fourth proportional to 20,098.42, 30,154.94 and 6,952.12 is: 10,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.42 : 30,154.94 = 6,952.12 : x
  2. Step 2: Convert to fraction form
    20,098.42/30,154.94 = 6,952.12/x
  3. Step 3: Cross multiply
    20,098.42x = 30,154.94 × 6,952.12
  4. Step 4: Simplify right side
    20,098.42x = 209,640,761.47
  5. Step 5: Solve for x
    x = 209,640,761.47/20,098.42
  6. Step 6: Final answer
    x = 10,430.71

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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.