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Finding the Fourth Proportional to 7,067.98, 10,602.24 and 2,138.05

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Solution

The fourth proportional to 7,067.98, 10,602.24 and 2,138.05 is: 3,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.98 : 10,602.24 = 2,138.05 : x
  2. Step 2: Convert to fraction form
    7,067.98/10,602.24 = 2,138.05/x
  3. Step 3: Cross multiply
    7,067.98x = 10,602.24 × 2,138.05
  4. Step 4: Simplify right side
    7,067.98x = 22,668,119.23
  5. Step 5: Solve for x
    x = 22,668,119.23/7,067.98
  6. Step 6: Final answer
    x = 3,207.16

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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.