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Finding the Fourth Proportional to 6,486.97, 9,730.00 and 3,704.92

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Solution

The fourth proportional to 6,486.97, 9,730.00 and 3,704.92 is: 5,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.97 : 9,730.00 = 3,704.92 : x
  2. Step 2: Convert to fraction form
    6,486.97/9,730.00 = 3,704.92/x
  3. Step 3: Cross multiply
    6,486.97x = 9,730.00 × 3,704.92
  4. Step 4: Simplify right side
    6,486.97x = 36,048,896.22
  5. Step 5: Solve for x
    x = 36,048,896.22/6,486.97
  6. Step 6: Final answer
    x = 5,557.12

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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.