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Finding the Fourth Proportional to 6,476.13, 9,712.13 and 2,092.56

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Solution

The fourth proportional to 6,476.13, 9,712.13 and 2,092.56 is: 3,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.13 : 9,712.13 = 2,092.56 : x
  2. Step 2: Convert to fraction form
    6,476.13/9,712.13 = 2,092.56/x
  3. Step 3: Cross multiply
    6,476.13x = 9,712.13 × 2,092.56
  4. Step 4: Simplify right side
    6,476.13x = 20,323,204.29
  5. Step 5: Solve for x
    x = 20,323,204.29/6,476.13
  6. Step 6: Final answer
    x = 3,138.17

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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.