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Finding the Fourth Proportional to 7,067.96, 10,600.14 and 2,909.12

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Solution

The fourth proportional to 7,067.96, 10,600.14 and 2,909.12 is: 4,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.96 : 10,600.14 = 2,909.12 : x
  2. Step 2: Convert to fraction form
    7,067.96/10,600.14 = 2,909.12/x
  3. Step 3: Cross multiply
    7,067.96x = 10,600.14 × 2,909.12
  4. Step 4: Simplify right side
    7,067.96x = 30,837,079.28
  5. Step 5: Solve for x
    x = 30,837,079.28/7,067.96
  6. Step 6: Final answer
    x = 4,362.94

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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.