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Finding the Fourth Proportional to 9,911.96, 13,674.98 and 5,659.97

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Solution

The fourth proportional to 9,911.96, 13,674.98 and 5,659.97 is: 7,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.96 : 13,674.98 = 5,659.97 : x
  2. Step 2: Convert to fraction form
    9,911.96/13,674.98 = 5,659.97/x
  3. Step 3: Cross multiply
    9,911.96x = 13,674.98 × 5,659.97
  4. Step 4: Simplify right side
    9,911.96x = 77,399,879.88
  5. Step 5: Solve for x
    x = 77,399,879.88/9,911.96
  6. Step 6: Final answer
    x = 7,808.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.