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Finding the Fourth Proportional to 6,896.33, 10,343.04 and 1,964.64

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Solution

The fourth proportional to 6,896.33, 10,343.04 and 1,964.64 is: 2,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.33 : 10,343.04 = 1,964.64 : x
  2. Step 2: Convert to fraction form
    6,896.33/10,343.04 = 1,964.64/x
  3. Step 3: Cross multiply
    6,896.33x = 10,343.04 × 1,964.64
  4. Step 4: Simplify right side
    6,896.33x = 20,320,350.11
  5. Step 5: Solve for x
    x = 20,320,350.11/6,896.33
  6. Step 6: Final answer
    x = 2,946.55

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1.5x scale

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.