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Finding the Fourth Proportional to 6,783.76, 10,175.82 and 2,166.76

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Solution

The fourth proportional to 6,783.76, 10,175.82 and 2,166.76 is: 3,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.76 : 10,175.82 = 2,166.76 : x
  2. Step 2: Convert to fraction form
    6,783.76/10,175.82 = 2,166.76/x
  3. Step 3: Cross multiply
    6,783.76x = 10,175.82 × 2,166.76
  4. Step 4: Simplify right side
    6,783.76x = 22,048,559.74
  5. Step 5: Solve for x
    x = 22,048,559.74/6,783.76
  6. Step 6: Final answer
    x = 3,250.20

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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.