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Finding the Fourth Proportional to 10,599.82, 15,891.38 and 6,696

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Solution

The fourth proportional to 10,599.82, 15,891.38 and 6,696 is: 10,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.82 : 15,891.38 = 6,696 : x
  2. Step 2: Convert to fraction form
    10,599.82/15,891.38 = 6,696/x
  3. Step 3: Cross multiply
    10,599.82x = 15,891.38 × 6,696
  4. Step 4: Simplify right side
    10,599.82x = 106,408,680.48
  5. Step 5: Solve for x
    x = 106,408,680.48/10,599.82
  6. Step 6: Final answer
    x = 10,038.73

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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.