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Finding the Fourth Proportional to 20,065.71, 30,098.87 and 9,536.82

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Solution

The fourth proportional to 20,065.71, 30,098.87 and 9,536.82 is: 14,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,065.71 : 30,098.87 = 9,536.82 : x
  2. Step 2: Convert to fraction form
    20,065.71/30,098.87 = 9,536.82/x
  3. Step 3: Cross multiply
    20,065.71x = 30,098.87 × 9,536.82
  4. Step 4: Simplify right side
    20,065.71x = 287,047,505.39
  5. Step 5: Solve for x
    x = 287,047,505.39/20,065.71
  6. Step 6: Final answer
    x = 14,305.37

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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.