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Finding the Fourth Proportional to 7,169.70, 10,754.82 and 1,975.98

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Solution

The fourth proportional to 7,169.70, 10,754.82 and 1,975.98 is: 2,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.70 : 10,754.82 = 1,975.98 : x
  2. Step 2: Convert to fraction form
    7,169.70/10,754.82 = 1,975.98/x
  3. Step 3: Cross multiply
    7,169.70x = 10,754.82 × 1,975.98
  4. Step 4: Simplify right side
    7,169.70x = 21,251,309.22
  5. Step 5: Solve for x
    x = 21,251,309.22/7,169.70
  6. Step 6: Final answer
    x = 2,964.04

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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.