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Finding the Fourth Proportional to 9,226.71, 13,827.31 and 7,991.06

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Solution

The fourth proportional to 9,226.71, 13,827.31 and 7,991.06 is: 11,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.71 : 13,827.31 = 7,991.06 : x
  2. Step 2: Convert to fraction form
    9,226.71/13,827.31 = 7,991.06/x
  3. Step 3: Cross multiply
    9,226.71x = 13,827.31 × 7,991.06
  4. Step 4: Simplify right side
    9,226.71x = 110,494,774.73
  5. Step 5: Solve for x
    x = 110,494,774.73/9,226.71
  6. Step 6: Final answer
    x = 11,975.53

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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.