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Finding the Fourth Proportional to 9,286.56, 13,930.68 and 3,739.68

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Solution

The fourth proportional to 9,286.56, 13,930.68 and 3,739.68 is: 5,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.56 : 13,930.68 = 3,739.68 : x
  2. Step 2: Convert to fraction form
    9,286.56/13,930.68 = 3,739.68/x
  3. Step 3: Cross multiply
    9,286.56x = 13,930.68 × 3,739.68
  4. Step 4: Simplify right side
    9,286.56x = 52,096,285.38
  5. Step 5: Solve for x
    x = 52,096,285.38/9,286.56
  6. Step 6: Final answer
    x = 5,609.86

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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.