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Finding the Fourth Proportional to 9,147.84, 12,624.66 and 5,169.32

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Solution

The fourth proportional to 9,147.84, 12,624.66 and 5,169.32 is: 7,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.84 : 12,624.66 = 5,169.32 : x
  2. Step 2: Convert to fraction form
    9,147.84/12,624.66 = 5,169.32/x
  3. Step 3: Cross multiply
    9,147.84x = 12,624.66 × 5,169.32
  4. Step 4: Simplify right side
    9,147.84x = 65,260,891.65
  5. Step 5: Solve for x
    x = 65,260,891.65/9,147.84
  6. Step 6: Final answer
    x = 7,134.02

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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.