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Finding the Fourth Proportional to 6,589.56, 9,089.64 and 4,351.44

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Solution

The fourth proportional to 6,589.56, 9,089.64 and 4,351.44 is: 6,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.56 : 9,089.64 = 4,351.44 : x
  2. Step 2: Convert to fraction form
    6,589.56/9,089.64 = 4,351.44/x
  3. Step 3: Cross multiply
    6,589.56x = 9,089.64 × 4,351.44
  4. Step 4: Simplify right side
    6,589.56x = 39,553,023.08
  5. Step 5: Solve for x
    x = 39,553,023.08/6,589.56
  6. Step 6: Final answer
    x = 6,002.38

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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.