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Finding the Fourth Proportional to 16,503, 24,735.63 and 6,635.97

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Solution

The fourth proportional to 16,503, 24,735.63 and 6,635.97 is: 9,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503 : 24,735.63 = 6,635.97 : x
  2. Step 2: Convert to fraction form
    16,503/24,735.63 = 6,635.97/x
  3. Step 3: Cross multiply
    16,503x = 24,735.63 × 6,635.97
  4. Step 4: Simplify right side
    16,503x = 164,144,898.61
  5. Step 5: Solve for x
    x = 164,144,898.61/16,503
  6. Step 6: Final answer
    x = 9,946.37

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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.