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Finding the Fourth Proportional to 9,992.22, 13,790.94 and 9,549.33

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Solution

The fourth proportional to 9,992.22, 13,790.94 and 9,549.33 is: 13,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.22 : 13,790.94 = 9,549.33 : x
  2. Step 2: Convert to fraction form
    9,992.22/13,790.94 = 9,549.33/x
  3. Step 3: Cross multiply
    9,992.22x = 13,790.94 × 9,549.33
  4. Step 4: Simplify right side
    9,992.22x = 131,694,237.07
  5. Step 5: Solve for x
    x = 131,694,237.07/9,992.22
  6. Step 6: Final answer
    x = 13,179.68

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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.