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Finding the Fourth Proportional to 9,234.46, 12,742.07 and 5,255.64

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Solution

The fourth proportional to 9,234.46, 12,742.07 and 5,255.64 is: 7,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.46 : 12,742.07 = 5,255.64 : x
  2. Step 2: Convert to fraction form
    9,234.46/12,742.07 = 5,255.64/x
  3. Step 3: Cross multiply
    9,234.46x = 12,742.07 × 5,255.64
  4. Step 4: Simplify right side
    9,234.46x = 66,967,732.77
  5. Step 5: Solve for x
    x = 66,967,732.77/9,234.46
  6. Step 6: Final answer
    x = 7,251.94

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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.