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Finding the Fourth Proportional to 6,414.12, 9,613.89 and 6,268.32

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Solution

The fourth proportional to 6,414.12, 9,613.89 and 6,268.32 is: 9,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.12 : 9,613.89 = 6,268.32 : x
  2. Step 2: Convert to fraction form
    6,414.12/9,613.89 = 6,268.32/x
  3. Step 3: Cross multiply
    6,414.12x = 9,613.89 × 6,268.32
  4. Step 4: Simplify right side
    6,414.12x = 60,262,938.96
  5. Step 5: Solve for x
    x = 60,262,938.96/6,414.12
  6. Step 6: Final answer
    x = 9,395.36

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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.