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Finding the Fourth Proportional to 6,781.66, 10,172.50 and 1,851.30

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Solution

The fourth proportional to 6,781.66, 10,172.50 and 1,851.30 is: 2,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.66 : 10,172.50 = 1,851.30 : x
  2. Step 2: Convert to fraction form
    6,781.66/10,172.50 = 1,851.30/x
  3. Step 3: Cross multiply
    6,781.66x = 10,172.50 × 1,851.30
  4. Step 4: Simplify right side
    6,781.66x = 18,832,349.25
  5. Step 5: Solve for x
    x = 18,832,349.25/6,781.66
  6. Step 6: Final answer
    x = 2,776.95

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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.