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Finding the Fourth Proportional to 6,722.65, 10,084.79 and 2,339.47

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Solution

The fourth proportional to 6,722.65, 10,084.79 and 2,339.47 is: 3,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.65 : 10,084.79 = 2,339.47 : x
  2. Step 2: Convert to fraction form
    6,722.65/10,084.79 = 2,339.47/x
  3. Step 3: Cross multiply
    6,722.65x = 10,084.79 × 2,339.47
  4. Step 4: Simplify right side
    6,722.65x = 23,593,063.66
  5. Step 5: Solve for x
    x = 23,593,063.66/6,722.65
  6. Step 6: Final answer
    x = 3,509.49

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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.