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Finding the Fourth Proportional to 20,998.66, 31,497.96 and 7,147.66

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Solution

The fourth proportional to 20,998.66, 31,497.96 and 7,147.66 is: 10,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.66 : 31,497.96 = 7,147.66 : x
  2. Step 2: Convert to fraction form
    20,998.66/31,497.96 = 7,147.66/x
  3. Step 3: Cross multiply
    20,998.66x = 31,497.96 × 7,147.66
  4. Step 4: Simplify right side
    20,998.66x = 225,136,708.77
  5. Step 5: Solve for x
    x = 225,136,708.77/20,998.66
  6. Step 6: Final answer
    x = 10,721.48

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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.