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Finding the Fourth Proportional to 5,998.14, 9,006.93 and 3,704.22

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Solution

The fourth proportional to 5,998.14, 9,006.93 and 3,704.22 is: 5,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.14 : 9,006.93 = 3,704.22 : x
  2. Step 2: Convert to fraction form
    5,998.14/9,006.93 = 3,704.22/x
  3. Step 3: Cross multiply
    5,998.14x = 9,006.93 × 3,704.22
  4. Step 4: Simplify right side
    5,998.14x = 33,363,650.24
  5. Step 5: Solve for x
    x = 33,363,650.24/5,998.14
  6. Step 6: Final answer
    x = 5,562.33

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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.