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Finding the Fourth Proportional to 6,593.76, 9,093.24 and 5,937.66

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Solution

The fourth proportional to 6,593.76, 9,093.24 and 5,937.66 is: 8,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.76 : 9,093.24 = 5,937.66 : x
  2. Step 2: Convert to fraction form
    6,593.76/9,093.24 = 5,937.66/x
  3. Step 3: Cross multiply
    6,593.76x = 9,093.24 × 5,937.66
  4. Step 4: Simplify right side
    6,593.76x = 53,992,567.42
  5. Step 5: Solve for x
    x = 53,992,567.42/6,593.76
  6. Step 6: Final answer
    x = 8,188.43

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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.