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Finding the Fourth Proportional to 6,207.17, 9,311.63 and 1,824.03

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Solution

The fourth proportional to 6,207.17, 9,311.63 and 1,824.03 is: 2,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.17 : 9,311.63 = 1,824.03 : x
  2. Step 2: Convert to fraction form
    6,207.17/9,311.63 = 1,824.03/x
  3. Step 3: Cross multiply
    6,207.17x = 9,311.63 × 1,824.03
  4. Step 4: Simplify right side
    6,207.17x = 16,984,683.35
  5. Step 5: Solve for x
    x = 16,984,683.35/6,207.17
  6. Step 6: Final answer
    x = 2,736.30

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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.