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Finding the Fourth Proportional to 6,965.28, 10,448.96 and 2,034.28

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Solution

The fourth proportional to 6,965.28, 10,448.96 and 2,034.28 is: 3,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.28 : 10,448.96 = 2,034.28 : x
  2. Step 2: Convert to fraction form
    6,965.28/10,448.96 = 2,034.28/x
  3. Step 3: Cross multiply
    6,965.28x = 10,448.96 × 2,034.28
  4. Step 4: Simplify right side
    6,965.28x = 21,256,110.35
  5. Step 5: Solve for x
    x = 21,256,110.35/6,965.28
  6. Step 6: Final answer
    x = 3,051.72

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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.