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Finding the Fourth Proportional to 9,198.56, 12,694.24 and 5,007.04

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Solution

The fourth proportional to 9,198.56, 12,694.24 and 5,007.04 is: 6,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.56 : 12,694.24 = 5,007.04 : x
  2. Step 2: Convert to fraction form
    9,198.56/12,694.24 = 5,007.04/x
  3. Step 3: Cross multiply
    9,198.56x = 12,694.24 × 5,007.04
  4. Step 4: Simplify right side
    9,198.56x = 63,560,567.45
  5. Step 5: Solve for x
    x = 63,560,567.45/9,198.56
  6. Step 6: Final answer
    x = 6,909.84

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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.