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Finding the Fourth Proportional to 6,609.34, 9,914.73 and 2,167.48

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Solution

The fourth proportional to 6,609.34, 9,914.73 and 2,167.48 is: 3,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.34 : 9,914.73 = 2,167.48 : x
  2. Step 2: Convert to fraction form
    6,609.34/9,914.73 = 2,167.48/x
  3. Step 3: Cross multiply
    6,609.34x = 9,914.73 × 2,167.48
  4. Step 4: Simplify right side
    6,609.34x = 21,489,978.98
  5. Step 5: Solve for x
    x = 21,489,978.98/6,609.34
  6. Step 6: Final answer
    x = 3,251.46

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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.