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Finding the Fourth Proportional to 6,297, 9,445.58 and 2,193

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Solution

The fourth proportional to 6,297, 9,445.58 and 2,193 is: 3,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297 : 9,445.58 = 2,193 : x
  2. Step 2: Convert to fraction form
    6,297/9,445.58 = 2,193/x
  3. Step 3: Cross multiply
    6,297x = 9,445.58 × 2,193
  4. Step 4: Simplify right side
    6,297x = 20,714,156.94
  5. Step 5: Solve for x
    x = 20,714,156.94/6,297
  6. Step 6: Final answer
    x = 3,289.53

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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.