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Finding the Fourth Proportional to 6,156, 8,495.46 and 3,361.68

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Solution

The fourth proportional to 6,156, 8,495.46 and 3,361.68 is: 4,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156 : 8,495.46 = 3,361.68 : x
  2. Step 2: Convert to fraction form
    6,156/8,495.46 = 3,361.68/x
  3. Step 3: Cross multiply
    6,156x = 8,495.46 × 3,361.68
  4. Step 4: Simplify right side
    6,156x = 28,559,017.97
  5. Step 5: Solve for x
    x = 28,559,017.97/6,156
  6. Step 6: Final answer
    x = 4,639.22

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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.