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Finding the Fourth Proportional to 9,889.44, 14,834.14 and 2,494.48

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Solution

The fourth proportional to 9,889.44, 14,834.14 and 2,494.48 is: 3,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.44 : 14,834.14 = 2,494.48 : x
  2. Step 2: Convert to fraction form
    9,889.44/14,834.14 = 2,494.48/x
  3. Step 3: Cross multiply
    9,889.44x = 14,834.14 × 2,494.48
  4. Step 4: Simplify right side
    9,889.44x = 37,003,453.07
  5. Step 5: Solve for x
    x = 37,003,453.07/9,889.44
  6. Step 6: Final answer
    x = 3,741.71

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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.