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Finding the Fourth Proportional to 6,704.88, 9,986.49 and 6,353.60

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Solution

The fourth proportional to 6,704.88, 9,986.49 and 6,353.60 is: 9,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.88 : 9,986.49 = 6,353.60 : x
  2. Step 2: Convert to fraction form
    6,704.88/9,986.49 = 6,353.60/x
  3. Step 3: Cross multiply
    6,704.88x = 9,986.49 × 6,353.60
  4. Step 4: Simplify right side
    6,704.88x = 63,450,112.93
  5. Step 5: Solve for x
    x = 63,450,112.93/6,704.88
  6. Step 6: Final answer
    x = 9,463.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.