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Finding the Fourth Proportional to 6,889, 10,350.62 and 4,425

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Solution

The fourth proportional to 6,889, 10,350.62 and 4,425 is: 6,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889 : 10,350.62 = 4,425 : x
  2. Step 2: Convert to fraction form
    6,889/10,350.62 = 4,425/x
  3. Step 3: Cross multiply
    6,889x = 10,350.62 × 4,425
  4. Step 4: Simplify right side
    6,889x = 45,801,493.50
  5. Step 5: Solve for x
    x = 45,801,493.50/6,889
  6. Step 6: Final answer
    x = 6,648.50

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