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Finding the Fourth Proportional to 10,650.96, 14,698.44 and 5,934.96

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Solution

The fourth proportional to 10,650.96, 14,698.44 and 5,934.96 is: 8,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.96 : 14,698.44 = 5,934.96 : x
  2. Step 2: Convert to fraction form
    10,650.96/14,698.44 = 5,934.96/x
  3. Step 3: Cross multiply
    10,650.96x = 14,698.44 × 5,934.96
  4. Step 4: Simplify right side
    10,650.96x = 87,234,653.46
  5. Step 5: Solve for x
    x = 87,234,653.46/10,650.96
  6. Step 6: Final answer
    x = 8,190.31

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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.