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Finding the Fourth Proportional to 10,446.75, 15,649.26 and 6,284.49

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Solution

The fourth proportional to 10,446.75, 15,649.26 and 6,284.49 is: 9,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.75 : 15,649.26 = 6,284.49 : x
  2. Step 2: Convert to fraction form
    10,446.75/15,649.26 = 6,284.49/x
  3. Step 3: Cross multiply
    10,446.75x = 15,649.26 × 6,284.49
  4. Step 4: Simplify right side
    10,446.75x = 98,347,617.98
  5. Step 5: Solve for x
    x = 98,347,617.98/10,446.75
  6. Step 6: Final answer
    x = 9,414.18

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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.