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Finding the Fourth Proportional to 8,193, 11,306.58 and 4,467.24

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Solution

The fourth proportional to 8,193, 11,306.58 and 4,467.24 is: 6,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193 : 11,306.58 = 4,467.24 : x
  2. Step 2: Convert to fraction form
    8,193/11,306.58 = 4,467.24/x
  3. Step 3: Cross multiply
    8,193x = 11,306.58 × 4,467.24
  4. Step 4: Simplify right side
    8,193x = 50,509,206.44
  5. Step 5: Solve for x
    x = 50,509,206.44/8,193
  6. Step 6: Final answer
    x = 6,164.92

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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.