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Finding the Fourth Proportional to 6,171, 8,516.19 and 3,376.50

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Solution

The fourth proportional to 6,171, 8,516.19 and 3,376.50 is: 4,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171 : 8,516.19 = 3,376.50 : x
  2. Step 2: Convert to fraction form
    6,171/8,516.19 = 3,376.50/x
  3. Step 3: Cross multiply
    6,171x = 8,516.19 × 3,376.50
  4. Step 4: Simplify right side
    6,171x = 28,754,898.65
  5. Step 5: Solve for x
    x = 28,754,898.65/6,171
  6. Step 6: Final answer
    x = 4,659.68

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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.