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Finding the Fourth Proportional to 6,476.89, 9,712.89 and 2,093.17

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Solution

The fourth proportional to 6,476.89, 9,712.89 and 2,093.17 is: 3,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.89 : 9,712.89 = 2,093.17 : x
  2. Step 2: Convert to fraction form
    6,476.89/9,712.89 = 2,093.17/x
  3. Step 3: Cross multiply
    6,476.89x = 9,712.89 × 2,093.17
  4. Step 4: Simplify right side
    6,476.89x = 20,330,705.68
  5. Step 5: Solve for x
    x = 20,330,705.68/6,476.89
  6. Step 6: Final answer
    x = 3,138.96

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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.