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Finding the Fourth Proportional to 6,714.97, 10,068.99 and 3,014.03

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Solution

The fourth proportional to 6,714.97, 10,068.99 and 3,014.03 is: 4,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.97 : 10,068.99 = 3,014.03 : x
  2. Step 2: Convert to fraction form
    6,714.97/10,068.99 = 3,014.03/x
  3. Step 3: Cross multiply
    6,714.97x = 10,068.99 × 3,014.03
  4. Step 4: Simplify right side
    6,714.97x = 30,348,251.80
  5. Step 5: Solve for x
    x = 30,348,251.80/6,714.97
  6. Step 6: Final answer
    x = 4,519.49

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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.