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Finding the Fourth Proportional to 7,198.82, 10,798.84 and 2,004.70

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Solution

The fourth proportional to 7,198.82, 10,798.84 and 2,004.70 is: 3,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.82 : 10,798.84 = 2,004.70 : x
  2. Step 2: Convert to fraction form
    7,198.82/10,798.84 = 2,004.70/x
  3. Step 3: Cross multiply
    7,198.82x = 10,798.84 × 2,004.70
  4. Step 4: Simplify right side
    7,198.82x = 21,648,434.55
  5. Step 5: Solve for x
    x = 21,648,434.55/7,198.82
  6. Step 6: Final answer
    x = 3,007.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.