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Finding the Fourth Proportional to 9,241.29, 13,835.21 and 8,199.23

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Solution

The fourth proportional to 9,241.29, 13,835.21 and 8,199.23 is: 12,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.29 : 13,835.21 = 8,199.23 : x
  2. Step 2: Convert to fraction form
    9,241.29/13,835.21 = 8,199.23/x
  3. Step 3: Cross multiply
    9,241.29x = 13,835.21 × 8,199.23
  4. Step 4: Simplify right side
    9,241.29x = 113,437,958.72
  5. Step 5: Solve for x
    x = 113,437,958.72/9,241.29
  6. Step 6: Final answer
    x = 12,275.12

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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.