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Finding the Fourth Proportional to 6,802.65, 10,194.24 and 3,874.91

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Solution

The fourth proportional to 6,802.65, 10,194.24 and 3,874.91 is: 5,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.65 : 10,194.24 = 3,874.91 : x
  2. Step 2: Convert to fraction form
    6,802.65/10,194.24 = 3,874.91/x
  3. Step 3: Cross multiply
    6,802.65x = 10,194.24 × 3,874.91
  4. Step 4: Simplify right side
    6,802.65x = 39,501,711.55
  5. Step 5: Solve for x
    x = 39,501,711.55/6,802.65
  6. Step 6: Final answer
    x = 5,806.81

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1.5x scale

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.