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Finding the Fourth Proportional to 9,169.64, 13,754.30 and 2,244.20

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Solution

The fourth proportional to 9,169.64, 13,754.30 and 2,244.20 is: 3,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.64 : 13,754.30 = 2,244.20 : x
  2. Step 2: Convert to fraction form
    9,169.64/13,754.30 = 2,244.20/x
  3. Step 3: Cross multiply
    9,169.64x = 13,754.30 × 2,244.20
  4. Step 4: Simplify right side
    9,169.64x = 30,867,400.06
  5. Step 5: Solve for x
    x = 30,867,400.06/9,169.64
  6. Step 6: Final answer
    x = 3,366.26

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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.