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Finding the Fourth Proportional to 4,165, 6,247.50 and 1,701.16

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Solution

The fourth proportional to 4,165, 6,247.50 and 1,701.16 is: 2,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165 : 6,247.50 = 1,701.16 : x
  2. Step 2: Convert to fraction form
    4,165/6,247.50 = 1,701.16/x
  3. Step 3: Cross multiply
    4,165x = 6,247.50 × 1,701.16
  4. Step 4: Simplify right side
    4,165x = 10,627,997.10
  5. Step 5: Solve for x
    x = 10,627,997.10/4,165
  6. Step 6: Final answer
    x = 2,551.74

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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.