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Finding the Fourth Proportional to 8,193.78, 11,294.16 and 5,536.52

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Solution

The fourth proportional to 8,193.78, 11,294.16 and 5,536.52 is: 7,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.78 : 11,294.16 = 5,536.52 : x
  2. Step 2: Convert to fraction form
    8,193.78/11,294.16 = 5,536.52/x
  3. Step 3: Cross multiply
    8,193.78x = 11,294.16 × 5,536.52
  4. Step 4: Simplify right side
    8,193.78x = 62,530,342.72
  5. Step 5: Solve for x
    x = 62,530,342.72/8,193.78
  6. Step 6: Final answer
    x = 7,631.44

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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.