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Finding the Fourth Proportional to 6,563.36, 9,844.32 and 1,946

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Solution

The fourth proportional to 6,563.36, 9,844.32 and 1,946 is: 2,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.36 : 9,844.32 = 1,946 : x
  2. Step 2: Convert to fraction form
    6,563.36/9,844.32 = 1,946/x
  3. Step 3: Cross multiply
    6,563.36x = 9,844.32 × 1,946
  4. Step 4: Simplify right side
    6,563.36x = 19,157,046.72
  5. Step 5: Solve for x
    x = 19,157,046.72/6,563.36
  6. Step 6: Final answer
    x = 2,918.79

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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.