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Finding the Fourth Proportional to 6,366.50, 9,536.76 and 3,899.24

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Solution

The fourth proportional to 6,366.50, 9,536.76 and 3,899.24 is: 5,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.50 : 9,536.76 = 3,899.24 : x
  2. Step 2: Convert to fraction form
    6,366.50/9,536.76 = 3,899.24/x
  3. Step 3: Cross multiply
    6,366.50x = 9,536.76 × 3,899.24
  4. Step 4: Simplify right side
    6,366.50x = 37,186,116.06
  5. Step 5: Solve for x
    x = 37,186,116.06/6,366.50
  6. Step 6: Final answer
    x = 5,840.90

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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.