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Finding the Fourth Proportional to 6,388.61, 9,581.02 and 2,690.75

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Solution

The fourth proportional to 6,388.61, 9,581.02 and 2,690.75 is: 4,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.61 : 9,581.02 = 2,690.75 : x
  2. Step 2: Convert to fraction form
    6,388.61/9,581.02 = 2,690.75/x
  3. Step 3: Cross multiply
    6,388.61x = 9,581.02 × 2,690.75
  4. Step 4: Simplify right side
    6,388.61x = 25,780,146.79
  5. Step 5: Solve for x
    x = 25,780,146.79/6,388.61
  6. Step 6: Final answer
    x = 4,035.33

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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.