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Finding the Fourth Proportional to 12,602.13, 18,906.02 and 3,837.73

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Solution

The fourth proportional to 12,602.13, 18,906.02 and 3,837.73 is: 5,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.13 : 18,906.02 = 3,837.73 : x
  2. Step 2: Convert to fraction form
    12,602.13/18,906.02 = 3,837.73/x
  3. Step 3: Cross multiply
    12,602.13x = 18,906.02 × 3,837.73
  4. Step 4: Simplify right side
    12,602.13x = 72,556,200.13
  5. Step 5: Solve for x
    x = 72,556,200.13/12,602.13
  6. Step 6: Final answer
    x = 5,757.46

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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.