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Finding the Fourth Proportional to 6,796, 10,193.98 and 1,865.66

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Solution

The fourth proportional to 6,796, 10,193.98 and 1,865.66 is: 2,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796 : 10,193.98 = 1,865.66 : x
  2. Step 2: Convert to fraction form
    6,796/10,193.98 = 1,865.66/x
  3. Step 3: Cross multiply
    6,796x = 10,193.98 × 1,865.66
  4. Step 4: Simplify right side
    6,796x = 19,018,500.73
  5. Step 5: Solve for x
    x = 19,018,500.73/6,796
  6. Step 6: Final answer
    x = 2,798.48

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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.