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Finding the Fourth Proportional to 6,480.93, 9,704.99 and 4,008.26

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Solution

The fourth proportional to 6,480.93, 9,704.99 and 4,008.26 is: 6,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.93 : 9,704.99 = 4,008.26 : x
  2. Step 2: Convert to fraction form
    6,480.93/9,704.99 = 4,008.26/x
  3. Step 3: Cross multiply
    6,480.93x = 9,704.99 × 4,008.26
  4. Step 4: Simplify right side
    6,480.93x = 38,900,054.65
  5. Step 5: Solve for x
    x = 38,900,054.65/6,480.93
  6. Step 6: Final answer
    x = 6,002.23

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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.