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Finding the Fourth Proportional to 9,589.81, 14,388.17 and 3,350.74

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Solution

The fourth proportional to 9,589.81, 14,388.17 and 3,350.74 is: 5,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.81 : 14,388.17 = 3,350.74 : x
  2. Step 2: Convert to fraction form
    9,589.81/14,388.17 = 3,350.74/x
  3. Step 3: Cross multiply
    9,589.81x = 14,388.17 × 3,350.74
  4. Step 4: Simplify right side
    9,589.81x = 48,211,016.75
  5. Step 5: Solve for x
    x = 48,211,016.75/9,589.81
  6. Step 6: Final answer
    x = 5,027.32

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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.