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Finding the Fourth Proportional to 9,614.97, 14,422.97 and 4,067.55

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Solution

The fourth proportional to 9,614.97, 14,422.97 and 4,067.55 is: 6,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.97 : 14,422.97 = 4,067.55 : x
  2. Step 2: Convert to fraction form
    9,614.97/14,422.97 = 4,067.55/x
  3. Step 3: Cross multiply
    9,614.97x = 14,422.97 × 4,067.55
  4. Step 4: Simplify right side
    9,614.97x = 58,666,131.29
  5. Step 5: Solve for x
    x = 58,666,131.29/9,614.97
  6. Step 6: Final answer
    x = 6,101.54

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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.