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Finding the Fourth Proportional to 6,463.54, 9,694.09 and 1,782.38

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Solution

The fourth proportional to 6,463.54, 9,694.09 and 1,782.38 is: 2,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.54 : 9,694.09 = 1,782.38 : x
  2. Step 2: Convert to fraction form
    6,463.54/9,694.09 = 1,782.38/x
  3. Step 3: Cross multiply
    6,463.54x = 9,694.09 × 1,782.38
  4. Step 4: Simplify right side
    6,463.54x = 17,278,552.13
  5. Step 5: Solve for x
    x = 17,278,552.13/6,463.54
  6. Step 6: Final answer
    x = 2,673.23

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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.