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Finding the Fourth Proportional to 10,691.96, 14,754.65 and 5,976.68

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Solution

The fourth proportional to 10,691.96, 14,754.65 and 5,976.68 is: 8,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.96 : 14,754.65 = 5,976.68 : x
  2. Step 2: Convert to fraction form
    10,691.96/14,754.65 = 5,976.68/x
  3. Step 3: Cross multiply
    10,691.96x = 14,754.65 × 5,976.68
  4. Step 4: Simplify right side
    10,691.96x = 88,183,821.56
  5. Step 5: Solve for x
    x = 88,183,821.56/10,691.96
  6. Step 6: Final answer
    x = 8,247.68

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1.5x scale

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.