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Finding the Fourth Proportional to 6,122.43, 8,452.43 and 4,684.09

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Solution

The fourth proportional to 6,122.43, 8,452.43 and 4,684.09 is: 6,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.43 : 8,452.43 = 4,684.09 : x
  2. Step 2: Convert to fraction form
    6,122.43/8,452.43 = 4,684.09/x
  3. Step 3: Cross multiply
    6,122.43x = 8,452.43 × 4,684.09
  4. Step 4: Simplify right side
    6,122.43x = 39,591,919.42
  5. Step 5: Solve for x
    x = 39,591,919.42/6,122.43
  6. Step 6: Final answer
    x = 6,466.70

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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.