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Finding the Fourth Proportional to 7,148.48, 10,722.72 and 2,218

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Solution

The fourth proportional to 7,148.48, 10,722.72 and 2,218 is: 3,327

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.48 : 10,722.72 = 2,218 : x
  2. Step 2: Convert to fraction form
    7,148.48/10,722.72 = 2,218/x
  3. Step 3: Cross multiply
    7,148.48x = 10,722.72 × 2,218
  4. Step 4: Simplify right side
    7,148.48x = 23,782,992.96
  5. Step 5: Solve for x
    x = 23,782,992.96/7,148.48
  6. Step 6: Final answer
    x = 3,327

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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.