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Finding the Fourth Proportional to 6,873.50, 9,487.89 and 4,079

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Solution

The fourth proportional to 6,873.50, 9,487.89 and 4,079 is: 5,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.50 : 9,487.89 = 4,079 : x
  2. Step 2: Convert to fraction form
    6,873.50/9,487.89 = 4,079/x
  3. Step 3: Cross multiply
    6,873.50x = 9,487.89 × 4,079
  4. Step 4: Simplify right side
    6,873.50x = 38,701,103.31
  5. Step 5: Solve for x
    x = 38,701,103.31/6,873.50
  6. Step 6: Final answer
    x = 5,630.48

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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.