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Finding the Fourth Proportional to 9,650.33, 14,467.29 and 9,191.06

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Solution

The fourth proportional to 9,650.33, 14,467.29 and 9,191.06 is: 13,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.33 : 14,467.29 = 9,191.06 : x
  2. Step 2: Convert to fraction form
    9,650.33/14,467.29 = 9,191.06/x
  3. Step 3: Cross multiply
    9,650.33x = 14,467.29 × 9,191.06
  4. Step 4: Simplify right side
    9,650.33x = 132,969,730.43
  5. Step 5: Solve for x
    x = 132,969,730.43/9,650.33
  6. Step 6: Final answer
    x = 13,778.78

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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.