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Finding the Fourth Proportional to 11,604.96, 17,379.60 and 6,659.64

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Solution

The fourth proportional to 11,604.96, 17,379.60 and 6,659.64 is: 9,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.96 : 17,379.60 = 6,659.64 : x
  2. Step 2: Convert to fraction form
    11,604.96/17,379.60 = 6,659.64/x
  3. Step 3: Cross multiply
    11,604.96x = 17,379.60 × 6,659.64
  4. Step 4: Simplify right side
    11,604.96x = 115,741,879.34
  5. Step 5: Solve for x
    x = 115,741,879.34/11,604.96
  6. Step 6: Final answer
    x = 9,973.48

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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.