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Finding the Fourth Proportional to 6,171.87, 9,257.72 and 1,491.84

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Solution

The fourth proportional to 6,171.87, 9,257.72 and 1,491.84 is: 2,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.87 : 9,257.72 = 1,491.84 : x
  2. Step 2: Convert to fraction form
    6,171.87/9,257.72 = 1,491.84/x
  3. Step 3: Cross multiply
    6,171.87x = 9,257.72 × 1,491.84
  4. Step 4: Simplify right side
    6,171.87x = 13,811,037.00
  5. Step 5: Solve for x
    x = 13,811,037.00/6,171.87
  6. Step 6: Final answer
    x = 2,237.74

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1.5x scale

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.