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Finding the Fourth Proportional to 9,315.93, 12,856.23 and 5,067.24

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Solution

The fourth proportional to 9,315.93, 12,856.23 and 5,067.24 is: 6,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.93 : 12,856.23 = 5,067.24 : x
  2. Step 2: Convert to fraction form
    9,315.93/12,856.23 = 5,067.24/x
  3. Step 3: Cross multiply
    9,315.93x = 12,856.23 × 5,067.24
  4. Step 4: Simplify right side
    9,315.93x = 65,145,540.44
  5. Step 5: Solve for x
    x = 65,145,540.44/9,315.93
  6. Step 6: Final answer
    x = 6,992.92

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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.