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Finding the Fourth Proportional to 6,894.56, 10,338.73 and 1,963.01

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Solution

The fourth proportional to 6,894.56, 10,338.73 and 1,963.01 is: 2,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.56 : 10,338.73 = 1,963.01 : x
  2. Step 2: Convert to fraction form
    6,894.56/10,338.73 = 1,963.01/x
  3. Step 3: Cross multiply
    6,894.56x = 10,338.73 × 1,963.01
  4. Step 4: Simplify right side
    6,894.56x = 20,295,030.38
  5. Step 5: Solve for x
    x = 20,295,030.38/6,894.56
  6. Step 6: Final answer
    x = 2,943.63

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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.