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Finding the Fourth Proportional to 6,742.02, 9,304.31 and 3,757.88

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Solution

The fourth proportional to 6,742.02, 9,304.31 and 3,757.88 is: 5,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.02 : 9,304.31 = 3,757.88 : x
  2. Step 2: Convert to fraction form
    6,742.02/9,304.31 = 3,757.88/x
  3. Step 3: Cross multiply
    6,742.02x = 9,304.31 × 3,757.88
  4. Step 4: Simplify right side
    6,742.02x = 34,964,464.14
  5. Step 5: Solve for x
    x = 34,964,464.14/6,742.02
  6. Step 6: Final answer
    x = 5,186.05

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1.5x scale

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.