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Finding the Fourth Proportional to 6,698.16, 10,047.72 and 1,767.75

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Solution

The fourth proportional to 6,698.16, 10,047.72 and 1,767.75 is: 2,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.16 : 10,047.72 = 1,767.75 : x
  2. Step 2: Convert to fraction form
    6,698.16/10,047.72 = 1,767.75/x
  3. Step 3: Cross multiply
    6,698.16x = 10,047.72 × 1,767.75
  4. Step 4: Simplify right side
    6,698.16x = 17,761,857.03
  5. Step 5: Solve for x
    x = 17,761,857.03/6,698.16
  6. Step 6: Final answer
    x = 2,651.75

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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.