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Finding the Fourth Proportional to 6,589.90, 9,884.88 and 5,351.44

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Solution

The fourth proportional to 6,589.90, 9,884.88 and 5,351.44 is: 8,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.90 : 9,884.88 = 5,351.44 : x
  2. Step 2: Convert to fraction form
    6,589.90/9,884.88 = 5,351.44/x
  3. Step 3: Cross multiply
    6,589.90x = 9,884.88 × 5,351.44
  4. Step 4: Simplify right side
    6,589.90x = 52,898,342.23
  5. Step 5: Solve for x
    x = 52,898,342.23/6,589.90
  6. Step 6: Final answer
    x = 8,027.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.