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Finding the Fourth Proportional to 7,864.56, 11,843.69 and 7,093.44

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Solution

The fourth proportional to 7,864.56, 11,843.69 and 7,093.44 is: 10,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.56 : 11,843.69 = 7,093.44 : x
  2. Step 2: Convert to fraction form
    7,864.56/11,843.69 = 7,093.44/x
  3. Step 3: Cross multiply
    7,864.56x = 11,843.69 × 7,093.44
  4. Step 4: Simplify right side
    7,864.56x = 84,012,468.93
  5. Step 5: Solve for x
    x = 84,012,468.93/7,864.56
  6. Step 6: Final answer
    x = 10,682.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.