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Finding the Fourth Proportional to 6,513.44, 9,770.48 and 1,896.48

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Solution

The fourth proportional to 6,513.44, 9,770.48 and 1,896.48 is: 2,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.44 : 9,770.48 = 1,896.48 : x
  2. Step 2: Convert to fraction form
    6,513.44/9,770.48 = 1,896.48/x
  3. Step 3: Cross multiply
    6,513.44x = 9,770.48 × 1,896.48
  4. Step 4: Simplify right side
    6,513.44x = 18,529,519.91
  5. Step 5: Solve for x
    x = 18,529,519.91/6,513.44
  6. Step 6: Final answer
    x = 2,844.81

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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.