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Finding the Fourth Proportional to 6,802.46, 10,196.48 and 3,874.49

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Solution

The fourth proportional to 6,802.46, 10,196.48 and 3,874.49 is: 5,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.46 : 10,196.48 = 3,874.49 : x
  2. Step 2: Convert to fraction form
    6,802.46/10,196.48 = 3,874.49/x
  3. Step 3: Cross multiply
    6,802.46x = 10,196.48 × 3,874.49
  4. Step 4: Simplify right side
    6,802.46x = 39,506,118.50
  5. Step 5: Solve for x
    x = 39,506,118.50/6,802.46
  6. Step 6: Final answer
    x = 5,807.63

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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.