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Finding the Fourth Proportional to 9,892.68, 14,839.21 and 3,649.48

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Solution

The fourth proportional to 9,892.68, 14,839.21 and 3,649.48 is: 5,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.68 : 14,839.21 = 3,649.48 : x
  2. Step 2: Convert to fraction form
    9,892.68/14,839.21 = 3,649.48/x
  3. Step 3: Cross multiply
    9,892.68x = 14,839.21 × 3,649.48
  4. Step 4: Simplify right side
    9,892.68x = 54,155,414.44
  5. Step 5: Solve for x
    x = 54,155,414.44/9,892.68
  6. Step 6: Final answer
    x = 5,474.29

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1.5x scale

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.