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Finding the Fourth Proportional to 6,504.94, 9,738.21 and 6,418.54

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Solution

The fourth proportional to 6,504.94, 9,738.21 and 6,418.54 is: 9,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.94 : 9,738.21 = 6,418.54 : x
  2. Step 2: Convert to fraction form
    6,504.94/9,738.21 = 6,418.54/x
  3. Step 3: Cross multiply
    6,504.94x = 9,738.21 × 6,418.54
  4. Step 4: Simplify right side
    6,504.94x = 62,505,090.41
  5. Step 5: Solve for x
    x = 62,505,090.41/6,504.94
  6. Step 6: Final answer
    x = 9,608.87

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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.