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Finding the Fourth Proportional to 6,452.36, 9,662.12 and 4,254.42

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Solution

The fourth proportional to 6,452.36, 9,662.12 and 4,254.42 is: 6,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.36 : 9,662.12 = 4,254.42 : x
  2. Step 2: Convert to fraction form
    6,452.36/9,662.12 = 4,254.42/x
  3. Step 3: Cross multiply
    6,452.36x = 9,662.12 × 4,254.42
  4. Step 4: Simplify right side
    6,452.36x = 41,106,716.57
  5. Step 5: Solve for x
    x = 41,106,716.57/6,452.36
  6. Step 6: Final answer
    x = 6,370.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.