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Finding the Fourth Proportional to 7,213.74, 9,952.20 and 4,698

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Solution

The fourth proportional to 7,213.74, 9,952.20 and 4,698 is: 6,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.74 : 9,952.20 = 4,698 : x
  2. Step 2: Convert to fraction form
    7,213.74/9,952.20 = 4,698/x
  3. Step 3: Cross multiply
    7,213.74x = 9,952.20 × 4,698
  4. Step 4: Simplify right side
    7,213.74x = 46,755,435.60
  5. Step 5: Solve for x
    x = 46,755,435.60/7,213.74
  6. Step 6: Final answer
    x = 6,481.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.