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Finding the Fourth Proportional to 6,698.20, 10,047.16 and 1,767.88

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Solution

The fourth proportional to 6,698.20, 10,047.16 and 1,767.88 is: 2,651.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.20 : 10,047.16 = 1,767.88 : x
  2. Step 2: Convert to fraction form
    6,698.20/10,047.16 = 1,767.88/x
  3. Step 3: Cross multiply
    6,698.20x = 10,047.16 × 1,767.88
  4. Step 4: Simplify right side
    6,698.20x = 17,762,173.22
  5. Step 5: Solve for x
    x = 17,762,173.22/6,698.20
  6. Step 6: Final answer
    x = 2,651.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.