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Finding the Fourth Proportional to 6,161, 8,502.36 and 3,366.68

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Solution

The fourth proportional to 6,161, 8,502.36 and 3,366.68 is: 4,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161 : 8,502.36 = 3,366.68 : x
  2. Step 2: Convert to fraction form
    6,161/8,502.36 = 3,366.68/x
  3. Step 3: Cross multiply
    6,161x = 8,502.36 × 3,366.68
  4. Step 4: Simplify right side
    6,161x = 28,624,725.36
  5. Step 5: Solve for x
    x = 28,624,725.36/6,161
  6. Step 6: Final answer
    x = 4,646.12

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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.