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Finding the Fourth Proportional to 6,851.02, 9,454.05 and 4,018

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Solution

The fourth proportional to 6,851.02, 9,454.05 and 4,018 is: 5,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.02 : 9,454.05 = 4,018 : x
  2. Step 2: Convert to fraction form
    6,851.02/9,454.05 = 4,018/x
  3. Step 3: Cross multiply
    6,851.02x = 9,454.05 × 4,018
  4. Step 4: Simplify right side
    6,851.02x = 37,986,372.90
  5. Step 5: Solve for x
    x = 37,986,372.90/6,851.02
  6. Step 6: Final answer
    x = 5,544.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.