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Finding the Fourth Proportional to 6,758.58, 10,147.35 and 3,474.06

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Solution

The fourth proportional to 6,758.58, 10,147.35 and 3,474.06 is: 5,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.58 : 10,147.35 = 3,474.06 : x
  2. Step 2: Convert to fraction form
    6,758.58/10,147.35 = 3,474.06/x
  3. Step 3: Cross multiply
    6,758.58x = 10,147.35 × 3,474.06
  4. Step 4: Simplify right side
    6,758.58x = 35,252,502.74
  5. Step 5: Solve for x
    x = 35,252,502.74/6,758.58
  6. Step 6: Final answer
    x = 5,215.96

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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.