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Finding the Fourth Proportional to 7,169.07, 10,754.01 and 1,974.96

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Solution

The fourth proportional to 7,169.07, 10,754.01 and 1,974.96 is: 2,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.07 : 10,754.01 = 1,974.96 : x
  2. Step 2: Convert to fraction form
    7,169.07/10,754.01 = 1,974.96/x
  3. Step 3: Cross multiply
    7,169.07x = 10,754.01 × 1,974.96
  4. Step 4: Simplify right side
    7,169.07x = 21,238,739.59
  5. Step 5: Solve for x
    x = 21,238,739.59/7,169.07
  6. Step 6: Final answer
    x = 2,962.55

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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.