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Finding the Fourth Proportional to 8,067, 11,120.94 and 5,714.52

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Solution

The fourth proportional to 8,067, 11,120.94 and 5,714.52 is: 7,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067 : 11,120.94 = 5,714.52 : x
  2. Step 2: Convert to fraction form
    8,067/11,120.94 = 5,714.52/x
  3. Step 3: Cross multiply
    8,067x = 11,120.94 × 5,714.52
  4. Step 4: Simplify right side
    8,067x = 63,550,834.05
  5. Step 5: Solve for x
    x = 63,550,834.05/8,067
  6. Step 6: Final answer
    x = 7,877.88

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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.