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Finding the Fourth Proportional to 6,589.54, 9,092.55 and 3,794.50

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Solution

The fourth proportional to 6,589.54, 9,092.55 and 3,794.50 is: 5,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.54 : 9,092.55 = 3,794.50 : x
  2. Step 2: Convert to fraction form
    6,589.54/9,092.55 = 3,794.50/x
  3. Step 3: Cross multiply
    6,589.54x = 9,092.55 × 3,794.50
  4. Step 4: Simplify right side
    6,589.54x = 34,501,680.98
  5. Step 5: Solve for x
    x = 34,501,680.98/6,589.54
  6. Step 6: Final answer
    x = 5,235.83

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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.