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Finding the Fourth Proportional to 6,698.15, 10,046.36 and 1,768.16

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Solution

The fourth proportional to 6,698.15, 10,046.36 and 1,768.16 is: 2,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.15 : 10,046.36 = 1,768.16 : x
  2. Step 2: Convert to fraction form
    6,698.15/10,046.36 = 1,768.16/x
  3. Step 3: Cross multiply
    6,698.15x = 10,046.36 × 1,768.16
  4. Step 4: Simplify right side
    6,698.15x = 17,763,512.83
  5. Step 5: Solve for x
    x = 17,763,512.83/6,698.15
  6. Step 6: Final answer
    x = 2,652.00

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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.