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Finding the Fourth Proportional to 6,699.69, 10,046.84 and 2,018.25

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Solution

The fourth proportional to 6,699.69, 10,046.84 and 2,018.25 is: 3,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.69 : 10,046.84 = 2,018.25 : x
  2. Step 2: Convert to fraction form
    6,699.69/10,046.84 = 2,018.25/x
  3. Step 3: Cross multiply
    6,699.69x = 10,046.84 × 2,018.25
  4. Step 4: Simplify right side
    6,699.69x = 20,277,024.74
  5. Step 5: Solve for x
    x = 20,277,024.74/6,699.69
  6. Step 6: Final answer
    x = 3,026.56

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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.