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Finding the Fourth Proportional to 6,136.71, 9,206.60 and 1,754.21

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Solution

The fourth proportional to 6,136.71, 9,206.60 and 1,754.21 is: 2,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.71 : 9,206.60 = 1,754.21 : x
  2. Step 2: Convert to fraction form
    6,136.71/9,206.60 = 1,754.21/x
  3. Step 3: Cross multiply
    6,136.71x = 9,206.60 × 1,754.21
  4. Step 4: Simplify right side
    6,136.71x = 16,150,254.98
  5. Step 5: Solve for x
    x = 16,150,254.98/6,136.71
  6. Step 6: Final answer
    x = 2,631.74

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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.