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Finding the Fourth Proportional to 6,574.44, 9,857.64 and 2,626.30

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Solution

The fourth proportional to 6,574.44, 9,857.64 and 2,626.30 is: 3,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.44 : 9,857.64 = 2,626.30 : x
  2. Step 2: Convert to fraction form
    6,574.44/9,857.64 = 2,626.30/x
  3. Step 3: Cross multiply
    6,574.44x = 9,857.64 × 2,626.30
  4. Step 4: Simplify right side
    6,574.44x = 25,889,119.93
  5. Step 5: Solve for x
    x = 25,889,119.93/6,574.44
  6. Step 6: Final answer
    x = 3,937.84

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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.