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Finding the Fourth Proportional to 6,902.93, 9,522.15 and 4,249.80

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Solution

The fourth proportional to 6,902.93, 9,522.15 and 4,249.80 is: 5,862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.93 : 9,522.15 = 4,249.80 : x
  2. Step 2: Convert to fraction form
    6,902.93/9,522.15 = 4,249.80/x
  3. Step 3: Cross multiply
    6,902.93x = 9,522.15 × 4,249.80
  4. Step 4: Simplify right side
    6,902.93x = 40,467,233.07
  5. Step 5: Solve for x
    x = 40,467,233.07/6,902.93
  6. Step 6: Final answer
    x = 5,862.33

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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.