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Finding the Fourth Proportional to 12,169.14, 16,791.75 and 7,452.42

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Solution

The fourth proportional to 12,169.14, 16,791.75 and 7,452.42 is: 10,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.14 : 16,791.75 = 7,452.42 : x
  2. Step 2: Convert to fraction form
    12,169.14/16,791.75 = 7,452.42/x
  3. Step 3: Cross multiply
    12,169.14x = 16,791.75 × 7,452.42
  4. Step 4: Simplify right side
    12,169.14x = 125,139,173.54
  5. Step 5: Solve for x
    x = 125,139,173.54/12,169.14
  6. Step 6: Final answer
    x = 10,283.32

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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.