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Finding the Fourth Proportional to 6,911.52, 10,371.71 and 6,886

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Solution

The fourth proportional to 6,911.52, 10,371.71 and 6,886 is: 10,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.52 : 10,371.71 = 6,886 : x
  2. Step 2: Convert to fraction form
    6,911.52/10,371.71 = 6,886/x
  3. Step 3: Cross multiply
    6,911.52x = 10,371.71 × 6,886
  4. Step 4: Simplify right side
    6,911.52x = 71,419,595.06
  5. Step 5: Solve for x
    x = 71,419,595.06/6,911.52
  6. Step 6: Final answer
    x = 10,333.41

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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.