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Finding the Fourth Proportional to 10,644.86, 15,961.94 and 6,203.96

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Solution

The fourth proportional to 10,644.86, 15,961.94 and 6,203.96 is: 9,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.86 : 15,961.94 = 6,203.96 : x
  2. Step 2: Convert to fraction form
    10,644.86/15,961.94 = 6,203.96/x
  3. Step 3: Cross multiply
    10,644.86x = 15,961.94 × 6,203.96
  4. Step 4: Simplify right side
    10,644.86x = 99,027,237.28
  5. Step 5: Solve for x
    x = 99,027,237.28/10,644.86
  6. Step 6: Final answer
    x = 9,302.82

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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.