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Finding the Fourth Proportional to 6,873, 10,308.34 and 1,941.48

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Solution

The fourth proportional to 6,873, 10,308.34 and 1,941.48 is: 2,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873 : 10,308.34 = 1,941.48 : x
  2. Step 2: Convert to fraction form
    6,873/10,308.34 = 1,941.48/x
  3. Step 3: Cross multiply
    6,873x = 10,308.34 × 1,941.48
  4. Step 4: Simplify right side
    6,873x = 20,013,435.94
  5. Step 5: Solve for x
    x = 20,013,435.94/6,873
  6. Step 6: Final answer
    x = 2,911.89

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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.