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Finding the Fourth Proportional to 9,147.97, 12,624.25 and 4,956.22

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Solution

The fourth proportional to 9,147.97, 12,624.25 and 4,956.22 is: 6,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.97 : 12,624.25 = 4,956.22 : x
  2. Step 2: Convert to fraction form
    9,147.97/12,624.25 = 4,956.22/x
  3. Step 3: Cross multiply
    9,147.97x = 12,624.25 × 4,956.22
  4. Step 4: Simplify right side
    9,147.97x = 62,568,560.34
  5. Step 5: Solve for x
    x = 62,568,560.34/9,147.97
  6. Step 6: Final answer
    x = 6,839.61

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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.