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Finding the Fourth Proportional to 6,598.25, 9,897.30 and 2,649.44

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Solution

The fourth proportional to 6,598.25, 9,897.30 and 2,649.44 is: 3,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.25 : 9,897.30 = 2,649.44 : x
  2. Step 2: Convert to fraction form
    6,598.25/9,897.30 = 2,649.44/x
  3. Step 3: Cross multiply
    6,598.25x = 9,897.30 × 2,649.44
  4. Step 4: Simplify right side
    6,598.25x = 26,222,310.10
  5. Step 5: Solve for x
    x = 26,222,310.10/6,598.25
  6. Step 6: Final answer
    x = 3,974.13

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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.