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Finding the Fourth Proportional to 5,998.69, 9,002.09 and 2,103.13

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Solution

The fourth proportional to 5,998.69, 9,002.09 and 2,103.13 is: 3,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.69 : 9,002.09 = 2,103.13 : x
  2. Step 2: Convert to fraction form
    5,998.69/9,002.09 = 2,103.13/x
  3. Step 3: Cross multiply
    5,998.69x = 9,002.09 × 2,103.13
  4. Step 4: Simplify right side
    5,998.69x = 18,932,565.54
  5. Step 5: Solve for x
    x = 18,932,565.54/5,998.69
  6. Step 6: Final answer
    x = 3,156.12

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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.