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Finding the Fourth Proportional to 6,961.84, 10,504.84 and 6,691.84

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Solution

The fourth proportional to 6,961.84, 10,504.84 and 6,691.84 is: 10,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.84 : 10,504.84 = 6,691.84 : x
  2. Step 2: Convert to fraction form
    6,961.84/10,504.84 = 6,691.84/x
  3. Step 3: Cross multiply
    6,961.84x = 10,504.84 × 6,691.84
  4. Step 4: Simplify right side
    6,961.84x = 70,296,708.51
  5. Step 5: Solve for x
    x = 70,296,708.51/6,961.84
  6. Step 6: Final answer
    x = 10,097.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.