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Finding the Fourth Proportional to 6,902.66, 9,522.42 and 4,249.10

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Solution

The fourth proportional to 6,902.66, 9,522.42 and 4,249.10 is: 5,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.66 : 9,522.42 = 4,249.10 : x
  2. Step 2: Convert to fraction form
    6,902.66/9,522.42 = 4,249.10/x
  3. Step 3: Cross multiply
    6,902.66x = 9,522.42 × 4,249.10
  4. Step 4: Simplify right side
    6,902.66x = 40,461,667.21
  5. Step 5: Solve for x
    x = 40,461,667.21/6,902.66
  6. Step 6: Final answer
    x = 5,861.75

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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.