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Finding the Fourth Proportional to 22,304.75, 33,470.09 and 9,992.75

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Solution

The fourth proportional to 22,304.75, 33,470.09 and 9,992.75 is: 14,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.75 : 33,470.09 = 9,992.75 : x
  2. Step 2: Convert to fraction form
    22,304.75/33,470.09 = 9,992.75/x
  3. Step 3: Cross multiply
    22,304.75x = 33,470.09 × 9,992.75
  4. Step 4: Simplify right side
    22,304.75x = 334,458,191.88
  5. Step 5: Solve for x
    x = 334,458,191.88/22,304.75
  6. Step 6: Final answer
    x = 14,994.93

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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.