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Finding the Fourth Proportional to 9,494.54, 14,174.04 and 8,249.32

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Solution

The fourth proportional to 9,494.54, 14,174.04 and 8,249.32 is: 12,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.54 : 14,174.04 = 8,249.32 : x
  2. Step 2: Convert to fraction form
    9,494.54/14,174.04 = 8,249.32/x
  3. Step 3: Cross multiply
    9,494.54x = 14,174.04 × 8,249.32
  4. Step 4: Simplify right side
    9,494.54x = 116,926,154.04
  5. Step 5: Solve for x
    x = 116,926,154.04/9,494.54
  6. Step 6: Final answer
    x = 12,315.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.