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Finding the Fourth Proportional to 6,255.27, 9,387.36 and 4,616.10

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Solution

The fourth proportional to 6,255.27, 9,387.36 and 4,616.10 is: 6,927.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,255.27 : 9,387.36 = 4,616.10 : x
  2. Step 2: Convert to fraction form
    6,255.27/9,387.36 = 4,616.10/x
  3. Step 3: Cross multiply
    6,255.27x = 9,387.36 × 4,616.10
  4. Step 4: Simplify right side
    6,255.27x = 43,332,992.50
  5. Step 5: Solve for x
    x = 43,332,992.50/6,255.27
  6. Step 6: Final answer
    x = 6,927.44

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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.