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Finding the Fourth Proportional to 9,269.56, 13,904.22 and 2,249.63

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Solution

The fourth proportional to 9,269.56, 13,904.22 and 2,249.63 is: 3,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.56 : 13,904.22 = 2,249.63 : x
  2. Step 2: Convert to fraction form
    9,269.56/13,904.22 = 2,249.63/x
  3. Step 3: Cross multiply
    9,269.56x = 13,904.22 × 2,249.63
  4. Step 4: Simplify right side
    9,269.56x = 31,279,280.92
  5. Step 5: Solve for x
    x = 31,279,280.92/9,269.56
  6. Step 6: Final answer
    x = 3,374.41

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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.