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Finding the Fourth Proportional to 6,017.67, 9,026.16 and 1,634.78

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Solution

The fourth proportional to 6,017.67, 9,026.16 and 1,634.78 is: 2,452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017.67 : 9,026.16 = 1,634.78 : x
  2. Step 2: Convert to fraction form
    6,017.67/9,026.16 = 1,634.78/x
  3. Step 3: Cross multiply
    6,017.67x = 9,026.16 × 1,634.78
  4. Step 4: Simplify right side
    6,017.67x = 14,755,806.88
  5. Step 5: Solve for x
    x = 14,755,806.88/6,017.67
  6. Step 6: Final answer
    x = 2,452.08

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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.