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Finding the Fourth Proportional to 6,676.50, 10,014.75 and 2,293.96

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Solution

The fourth proportional to 6,676.50, 10,014.75 and 2,293.96 is: 3,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.50 : 10,014.75 = 2,293.96 : x
  2. Step 2: Convert to fraction form
    6,676.50/10,014.75 = 2,293.96/x
  3. Step 3: Cross multiply
    6,676.50x = 10,014.75 × 2,293.96
  4. Step 4: Simplify right side
    6,676.50x = 22,973,418.79
  5. Step 5: Solve for x
    x = 22,973,418.79/6,676.50
  6. Step 6: Final answer
    x = 3,440.94

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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.