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Finding the Fourth Proportional to 12,163.67, 16,785.86 and 6,574.67

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Solution

The fourth proportional to 12,163.67, 16,785.86 and 6,574.67 is: 9,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.67 : 16,785.86 = 6,574.67 : x
  2. Step 2: Convert to fraction form
    12,163.67/16,785.86 = 6,574.67/x
  3. Step 3: Cross multiply
    12,163.67x = 16,785.86 × 6,574.67
  4. Step 4: Simplify right side
    12,163.67x = 110,361,523.91
  5. Step 5: Solve for x
    x = 110,361,523.91/12,163.67
  6. Step 6: Final answer
    x = 9,073.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.