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Finding the Fourth Proportional to 6,486.26, 9,713.78 and 3,704.50

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Solution

The fourth proportional to 6,486.26, 9,713.78 and 3,704.50 is: 5,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.26 : 9,713.78 = 3,704.50 : x
  2. Step 2: Convert to fraction form
    6,486.26/9,713.78 = 3,704.50/x
  3. Step 3: Cross multiply
    6,486.26x = 9,713.78 × 3,704.50
  4. Step 4: Simplify right side
    6,486.26x = 35,984,698.01
  5. Step 5: Solve for x
    x = 35,984,698.01/6,486.26
  6. Step 6: Final answer
    x = 5,547.83

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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.