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Finding the Fourth Proportional to 11,759.57, 17,648.41 and 6,832.67

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Solution

The fourth proportional to 11,759.57, 17,648.41 and 6,832.67 is: 10,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.57 : 17,648.41 = 6,832.67 : x
  2. Step 2: Convert to fraction form
    11,759.57/17,648.41 = 6,832.67/x
  3. Step 3: Cross multiply
    11,759.57x = 17,648.41 × 6,832.67
  4. Step 4: Simplify right side
    11,759.57x = 120,585,674.64
  5. Step 5: Solve for x
    x = 120,585,674.64/11,759.57
  6. Step 6: Final answer
    x = 10,254.26

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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.