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Finding the Fourth Proportional to 9,956.21, 13,737.67 and 5,975.87

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Solution

The fourth proportional to 9,956.21, 13,737.67 and 5,975.87 is: 8,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.21 : 13,737.67 = 5,975.87 : x
  2. Step 2: Convert to fraction form
    9,956.21/13,737.67 = 5,975.87/x
  3. Step 3: Cross multiply
    9,956.21x = 13,737.67 × 5,975.87
  4. Step 4: Simplify right side
    9,956.21x = 82,094,446.39
  5. Step 5: Solve for x
    x = 82,094,446.39/9,956.21
  6. Step 6: Final answer
    x = 8,245.56

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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.