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Finding the Fourth Proportional to 6,996.88, 10,491.06 and 2,833.48

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Solution

The fourth proportional to 6,996.88, 10,491.06 and 2,833.48 is: 4,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.88 : 10,491.06 = 2,833.48 : x
  2. Step 2: Convert to fraction form
    6,996.88/10,491.06 = 2,833.48/x
  3. Step 3: Cross multiply
    6,996.88x = 10,491.06 × 2,833.48
  4. Step 4: Simplify right side
    6,996.88x = 29,726,156.23
  5. Step 5: Solve for x
    x = 29,726,156.23/6,996.88
  6. Step 6: Final answer
    x = 4,248.49

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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.