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Finding the Fourth Proportional to 6,167, 8,510.46 and 3,372.50

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Solution

The fourth proportional to 6,167, 8,510.46 and 3,372.50 is: 4,654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167 : 8,510.46 = 3,372.50 : x
  2. Step 2: Convert to fraction form
    6,167/8,510.46 = 3,372.50/x
  3. Step 3: Cross multiply
    6,167x = 8,510.46 × 3,372.50
  4. Step 4: Simplify right side
    6,167x = 28,701,526.35
  5. Step 5: Solve for x
    x = 28,701,526.35/6,167
  6. Step 6: Final answer
    x = 4,654.05

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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.