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Finding the Fourth Proportional to 6,833.71, 10,254.21 and 2,937.88

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Solution

The fourth proportional to 6,833.71, 10,254.21 and 2,937.88 is: 4,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.71 : 10,254.21 = 2,937.88 : x
  2. Step 2: Convert to fraction form
    6,833.71/10,254.21 = 2,937.88/x
  3. Step 3: Cross multiply
    6,833.71x = 10,254.21 × 2,937.88
  4. Step 4: Simplify right side
    6,833.71x = 30,125,638.47
  5. Step 5: Solve for x
    x = 30,125,638.47/6,833.71
  6. Step 6: Final answer
    x = 4,408.39

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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.