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Finding the Fourth Proportional to 6,862.82, 10,291.82 and 2,419.34

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Solution

The fourth proportional to 6,862.82, 10,291.82 and 2,419.34 is: 3,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.82 : 10,291.82 = 2,419.34 : x
  2. Step 2: Convert to fraction form
    6,862.82/10,291.82 = 2,419.34/x
  3. Step 3: Cross multiply
    6,862.82x = 10,291.82 × 2,419.34
  4. Step 4: Simplify right side
    6,862.82x = 24,899,348.24
  5. Step 5: Solve for x
    x = 24,899,348.24/6,862.82
  6. Step 6: Final answer
    x = 3,628.15

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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.