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Finding the Fourth Proportional to 7,067.38, 9,752.61 and 3,923.50

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Solution

The fourth proportional to 7,067.38, 9,752.61 and 3,923.50 is: 5,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.38 : 9,752.61 = 3,923.50 : x
  2. Step 2: Convert to fraction form
    7,067.38/9,752.61 = 3,923.50/x
  3. Step 3: Cross multiply
    7,067.38x = 9,752.61 × 3,923.50
  4. Step 4: Simplify right side
    7,067.38x = 38,264,365.34
  5. Step 5: Solve for x
    x = 38,264,365.34/7,067.38
  6. Step 6: Final answer
    x = 5,414.22

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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.