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Finding the Fourth Proportional to 9,491.44, 14,236.36 and 2,917

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Solution

The fourth proportional to 9,491.44, 14,236.36 and 2,917 is: 4,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.44 : 14,236.36 = 2,917 : x
  2. Step 2: Convert to fraction form
    9,491.44/14,236.36 = 2,917/x
  3. Step 3: Cross multiply
    9,491.44x = 14,236.36 × 2,917
  4. Step 4: Simplify right side
    9,491.44x = 41,527,462.12
  5. Step 5: Solve for x
    x = 41,527,462.12/9,491.44
  6. Step 6: Final answer
    x = 4,375.25

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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.