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Finding the Fourth Proportional to 6,963.36, 10,444 and 1,769.28

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Solution

The fourth proportional to 6,963.36, 10,444 and 1,769.28 is: 2,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.36 : 10,444 = 1,769.28 : x
  2. Step 2: Convert to fraction form
    6,963.36/10,444 = 1,769.28/x
  3. Step 3: Cross multiply
    6,963.36x = 10,444 × 1,769.28
  4. Step 4: Simplify right side
    6,963.36x = 18,478,360.32
  5. Step 5: Solve for x
    x = 18,478,360.32/6,963.36
  6. Step 6: Final answer
    x = 2,653.66

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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.