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Finding the Fourth Proportional to 6,452.88, 8,902.42 and 4,214.04

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Solution

The fourth proportional to 6,452.88, 8,902.42 and 4,214.04 is: 5,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.88 : 8,902.42 = 4,214.04 : x
  2. Step 2: Convert to fraction form
    6,452.88/8,902.42 = 4,214.04/x
  3. Step 3: Cross multiply
    6,452.88x = 8,902.42 × 4,214.04
  4. Step 4: Simplify right side
    6,452.88x = 37,515,153.98
  5. Step 5: Solve for x
    x = 37,515,153.98/6,452.88
  6. Step 6: Final answer
    x = 5,813.71

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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.