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Finding the Fourth Proportional to 6,486.25, 9,713.79 and 3,704.49

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Solution

The fourth proportional to 6,486.25, 9,713.79 and 3,704.49 is: 5,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.25 : 9,713.79 = 3,704.49 : x
  2. Step 2: Convert to fraction form
    6,486.25/9,713.79 = 3,704.49/x
  3. Step 3: Cross multiply
    6,486.25x = 9,713.79 × 3,704.49
  4. Step 4: Simplify right side
    6,486.25x = 35,984,637.92
  5. Step 5: Solve for x
    x = 35,984,637.92/6,486.25
  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.