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Finding the Fourth Proportional to 6,698.58, 10,049.54 and 2,018.49

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Solution

The fourth proportional to 6,698.58, 10,049.54 and 2,018.49 is: 3,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.58 : 10,049.54 = 2,018.49 : x
  2. Step 2: Convert to fraction form
    6,698.58/10,049.54 = 2,018.49/x
  3. Step 3: Cross multiply
    6,698.58x = 10,049.54 × 2,018.49
  4. Step 4: Simplify right side
    6,698.58x = 20,284,895.99
  5. Step 5: Solve for x
    x = 20,284,895.99/6,698.58
  6. Step 6: Final answer
    x = 3,028.24

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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.