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Finding the Fourth Proportional to 10,921, 16,367.34 and 6,233.80

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Solution

The fourth proportional to 10,921, 16,367.34 and 6,233.80 is: 9,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921 : 16,367.34 = 6,233.80 : x
  2. Step 2: Convert to fraction form
    10,921/16,367.34 = 6,233.80/x
  3. Step 3: Cross multiply
    10,921x = 16,367.34 × 6,233.80
  4. Step 4: Simplify right side
    10,921x = 102,030,724.09
  5. Step 5: Solve for x
    x = 102,030,724.09/10,921
  6. Step 6: Final answer
    x = 9,342.62

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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.