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Finding the Fourth Proportional to 31,067, 46,600.86 and 7,693.64

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Solution

The fourth proportional to 31,067, 46,600.86 and 7,693.64 is: 11,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,067 : 46,600.86 = 7,693.64 : x
  2. Step 2: Convert to fraction form
    31,067/46,600.86 = 7,693.64/x
  3. Step 3: Cross multiply
    31,067x = 46,600.86 × 7,693.64
  4. Step 4: Simplify right side
    31,067x = 358,530,240.53
  5. Step 5: Solve for x
    x = 358,530,240.53/31,067
  6. Step 6: Final answer
    x = 11,540.55

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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.