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Finding the Fourth Proportional to 9,773.73, 14,680.20 and 5,832.68

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Solution

The fourth proportional to 9,773.73, 14,680.20 and 5,832.68 is: 8,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.73 : 14,680.20 = 5,832.68 : x
  2. Step 2: Convert to fraction form
    9,773.73/14,680.20 = 5,832.68/x
  3. Step 3: Cross multiply
    9,773.73x = 14,680.20 × 5,832.68
  4. Step 4: Simplify right side
    9,773.73x = 85,624,835.54
  5. Step 5: Solve for x
    x = 85,624,835.54/9,773.73
  6. Step 6: Final answer
    x = 8,760.71

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1.5x scale

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.