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Finding the Fourth Proportional to 9,690.86, 13,375.22 and 6,336.56

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Solution

The fourth proportional to 9,690.86, 13,375.22 and 6,336.56 is: 8,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.86 : 13,375.22 = 6,336.56 : x
  2. Step 2: Convert to fraction form
    9,690.86/13,375.22 = 6,336.56/x
  3. Step 3: Cross multiply
    9,690.86x = 13,375.22 × 6,336.56
  4. Step 4: Simplify right side
    9,690.86x = 84,752,785.48
  5. Step 5: Solve for x
    x = 84,752,785.48/9,690.86
  6. Step 6: Final answer
    x = 8,745.65

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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.