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Finding the Fourth Proportional to 7,984.09, 11,019.36 and 6,092.11

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Solution

The fourth proportional to 7,984.09, 11,019.36 and 6,092.11 is: 8,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.09 : 11,019.36 = 6,092.11 : x
  2. Step 2: Convert to fraction form
    7,984.09/11,019.36 = 6,092.11/x
  3. Step 3: Cross multiply
    7,984.09x = 11,019.36 × 6,092.11
  4. Step 4: Simplify right side
    7,984.09x = 67,131,153.25
  5. Step 5: Solve for x
    x = 67,131,153.25/7,984.09
  6. Step 6: Final answer
    x = 8,408.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.