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Finding the Fourth Proportional to 6,955.97, 10,434 and 2,338.97

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Solution

The fourth proportional to 6,955.97, 10,434 and 2,338.97 is: 3,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.97 : 10,434 = 2,338.97 : x
  2. Step 2: Convert to fraction form
    6,955.97/10,434 = 2,338.97/x
  3. Step 3: Cross multiply
    6,955.97x = 10,434 × 2,338.97
  4. Step 4: Simplify right side
    6,955.97x = 24,404,760.81
  5. Step 5: Solve for x
    x = 24,404,760.81/6,955.97
  6. Step 6: Final answer
    x = 3,508.47

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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.