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Finding the Fourth Proportional to 6,166.56, 8,509.81 and 3,513.81

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Solution

The fourth proportional to 6,166.56, 8,509.81 and 3,513.81 is: 4,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.56 : 8,509.81 = 3,513.81 : x
  2. Step 2: Convert to fraction form
    6,166.56/8,509.81 = 3,513.81/x
  3. Step 3: Cross multiply
    6,166.56x = 8,509.81 × 3,513.81
  4. Step 4: Simplify right side
    6,166.56x = 29,901,885.19
  5. Step 5: Solve for x
    x = 29,901,885.19/6,166.56
  6. Step 6: Final answer
    x = 4,849.04

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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.