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Finding the Fourth Proportional to 9,449.94, 14,174.82 and 2,524.44

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Solution

The fourth proportional to 9,449.94, 14,174.82 and 2,524.44 is: 3,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.94 : 14,174.82 = 2,524.44 : x
  2. Step 2: Convert to fraction form
    9,449.94/14,174.82 = 2,524.44/x
  3. Step 3: Cross multiply
    9,449.94x = 14,174.82 × 2,524.44
  4. Step 4: Simplify right side
    9,449.94x = 35,783,482.60
  5. Step 5: Solve for x
    x = 35,783,482.60/9,449.94
  6. Step 6: Final answer
    x = 3,786.64

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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.