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Finding the Fourth Proportional to 9,147.96, 12,624.21 and 4,956.21

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Solution

The fourth proportional to 9,147.96, 12,624.21 and 4,956.21 is: 6,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.96 : 12,624.21 = 4,956.21 : x
  2. Step 2: Convert to fraction form
    9,147.96/12,624.21 = 4,956.21/x
  3. Step 3: Cross multiply
    9,147.96x = 12,624.21 × 4,956.21
  4. Step 4: Simplify right side
    9,147.96x = 62,568,235.84
  5. Step 5: Solve for x
    x = 62,568,235.84/9,147.96
  6. Step 6: Final answer
    x = 6,839.58

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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.