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Finding the Fourth Proportional to 9,104.88, 13,659.12 and 4,174.68

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Solution

The fourth proportional to 9,104.88, 13,659.12 and 4,174.68 is: 6,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.88 : 13,659.12 = 4,174.68 : x
  2. Step 2: Convert to fraction form
    9,104.88/13,659.12 = 4,174.68/x
  3. Step 3: Cross multiply
    9,104.88x = 13,659.12 × 4,174.68
  4. Step 4: Simplify right side
    9,104.88x = 57,022,455.08
  5. Step 5: Solve for x
    x = 57,022,455.08/9,104.88
  6. Step 6: Final answer
    x = 6,262.85

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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.