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Finding the Fourth Proportional to 6,116.34, 9,167.50 and 2,781

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Solution

The fourth proportional to 6,116.34, 9,167.50 and 2,781 is: 4,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.34 : 9,167.50 = 2,781 : x
  2. Step 2: Convert to fraction form
    6,116.34/9,167.50 = 2,781/x
  3. Step 3: Cross multiply
    6,116.34x = 9,167.50 × 2,781
  4. Step 4: Simplify right side
    6,116.34x = 25,494,817.50
  5. Step 5: Solve for x
    x = 25,494,817.50/6,116.34
  6. Step 6: Final answer
    x = 4,168.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.