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Finding the Fourth Proportional to 6,155.14, 8,493.99 and 3,502.49

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Solution

The fourth proportional to 6,155.14, 8,493.99 and 3,502.49 is: 4,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.14 : 8,493.99 = 3,502.49 : x
  2. Step 2: Convert to fraction form
    6,155.14/8,493.99 = 3,502.49/x
  3. Step 3: Cross multiply
    6,155.14x = 8,493.99 × 3,502.49
  4. Step 4: Simplify right side
    6,155.14x = 29,750,123.14
  5. Step 5: Solve for x
    x = 29,750,123.14/6,155.14
  6. Step 6: Final answer
    x = 4,833.38

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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.