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Finding the Fourth Proportional to 6,862.96, 10,294.44 and 2,758

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Solution

The fourth proportional to 6,862.96, 10,294.44 and 2,758 is: 4,137

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.96 : 10,294.44 = 2,758 : x
  2. Step 2: Convert to fraction form
    6,862.96/10,294.44 = 2,758/x
  3. Step 3: Cross multiply
    6,862.96x = 10,294.44 × 2,758
  4. Step 4: Simplify right side
    6,862.96x = 28,392,065.52
  5. Step 5: Solve for x
    x = 28,392,065.52/6,862.96
  6. Step 6: Final answer
    x = 4,137

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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.