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Finding the Fourth Proportional to 9,198.96, 12,694.62 and 5,007.24

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Solution

The fourth proportional to 9,198.96, 12,694.62 and 5,007.24 is: 6,910.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.96 : 12,694.62 = 5,007.24 : x
  2. Step 2: Convert to fraction form
    9,198.96/12,694.62 = 5,007.24/x
  3. Step 3: Cross multiply
    9,198.96x = 12,694.62 × 5,007.24
  4. Step 4: Simplify right side
    9,198.96x = 63,565,009.05
  5. Step 5: Solve for x
    x = 63,565,009.05/9,198.96
  6. Step 6: Final answer
    x = 6,910.02

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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.