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Finding the Fourth Proportional to 6,418.80, 9,617.40 and 4,226.40

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Solution

The fourth proportional to 6,418.80, 9,617.40 and 4,226.40 is: 6,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.80 : 9,617.40 = 4,226.40 : x
  2. Step 2: Convert to fraction form
    6,418.80/9,617.40 = 4,226.40/x
  3. Step 3: Cross multiply
    6,418.80x = 9,617.40 × 4,226.40
  4. Step 4: Simplify right side
    6,418.80x = 40,646,979.36
  5. Step 5: Solve for x
    x = 40,646,979.36/6,418.80
  6. Step 6: Final answer
    x = 6,332.49

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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.