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Finding the Fourth Proportional to 6,589.16, 9,869.90 and 4,499.37

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Solution

The fourth proportional to 6,589.16, 9,869.90 and 4,499.37 is: 6,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.16 : 9,869.90 = 4,499.37 : x
  2. Step 2: Convert to fraction form
    6,589.16/9,869.90 = 4,499.37/x
  3. Step 3: Cross multiply
    6,589.16x = 9,869.90 × 4,499.37
  4. Step 4: Simplify right side
    6,589.16x = 44,408,309.47
  5. Step 5: Solve for x
    x = 44,408,309.47/6,589.16
  6. Step 6: Final answer
    x = 6,739.61

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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.