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Finding the Fourth Proportional to 10,190.63, 14,049.90 and 6,599.21

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Solution

The fourth proportional to 10,190.63, 14,049.90 and 6,599.21 is: 9,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.63 : 14,049.90 = 6,599.21 : x
  2. Step 2: Convert to fraction form
    10,190.63/14,049.90 = 6,599.21/x
  3. Step 3: Cross multiply
    10,190.63x = 14,049.90 × 6,599.21
  4. Step 4: Simplify right side
    10,190.63x = 92,718,170.33
  5. Step 5: Solve for x
    x = 92,718,170.33/10,190.63
  6. Step 6: Final answer
    x = 9,098.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.