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Finding the Fourth Proportional to 8,569.96, 12,849.90 and 4,183

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Solution

The fourth proportional to 8,569.96, 12,849.90 and 4,183 is: 6,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.96 : 12,849.90 = 4,183 : x
  2. Step 2: Convert to fraction form
    8,569.96/12,849.90 = 4,183/x
  3. Step 3: Cross multiply
    8,569.96x = 12,849.90 × 4,183
  4. Step 4: Simplify right side
    8,569.96x = 53,751,131.70
  5. Step 5: Solve for x
    x = 53,751,131.70/8,569.96
  6. Step 6: Final answer
    x = 6,272.04

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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.