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Finding the Fourth Proportional to 6,504.64, 9,754.07 and 2,993.79

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Solution

The fourth proportional to 6,504.64, 9,754.07 and 2,993.79 is: 4,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.64 : 9,754.07 = 2,993.79 : x
  2. Step 2: Convert to fraction form
    6,504.64/9,754.07 = 2,993.79/x
  3. Step 3: Cross multiply
    6,504.64x = 9,754.07 × 2,993.79
  4. Step 4: Simplify right side
    6,504.64x = 29,201,675.67
  5. Step 5: Solve for x
    x = 29,201,675.67/6,504.64
  6. Step 6: Final answer
    x = 4,489.36

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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.