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Finding the Fourth Proportional to 6,364.71, 9,540.69 and 3,027.11

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Solution

The fourth proportional to 6,364.71, 9,540.69 and 3,027.11 is: 4,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.71 : 9,540.69 = 3,027.11 : x
  2. Step 2: Convert to fraction form
    6,364.71/9,540.69 = 3,027.11/x
  3. Step 3: Cross multiply
    6,364.71x = 9,540.69 × 3,027.11
  4. Step 4: Simplify right side
    6,364.71x = 28,880,659.05
  5. Step 5: Solve for x
    x = 28,880,659.05/6,364.71
  6. Step 6: Final answer
    x = 4,537.62

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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.