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Finding the Fourth Proportional to 6,310.08, 9,464.40 and 2,414.40

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Solution

The fourth proportional to 6,310.08, 9,464.40 and 2,414.40 is: 3,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.08 : 9,464.40 = 2,414.40 : x
  2. Step 2: Convert to fraction form
    6,310.08/9,464.40 = 2,414.40/x
  3. Step 3: Cross multiply
    6,310.08x = 9,464.40 × 2,414.40
  4. Step 4: Simplify right side
    6,310.08x = 22,850,847.36
  5. Step 5: Solve for x
    x = 22,850,847.36/6,310.08
  6. Step 6: Final answer
    x = 3,621.32

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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.