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Finding the Fourth Proportional to 5,998.53, 9,002.12 and 3,400.77

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Solution

The fourth proportional to 5,998.53, 9,002.12 and 3,400.77 is: 5,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.53 : 9,002.12 = 3,400.77 : x
  2. Step 2: Convert to fraction form
    5,998.53/9,002.12 = 3,400.77/x
  3. Step 3: Cross multiply
    5,998.53x = 9,002.12 × 3,400.77
  4. Step 4: Simplify right side
    5,998.53x = 30,614,122.63
  5. Step 5: Solve for x
    x = 30,614,122.63/5,998.53
  6. Step 6: Final answer
    x = 5,103.60

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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.