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Finding the Fourth Proportional to 9,757.67, 14,660.57 and 6,249.20

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Solution

The fourth proportional to 9,757.67, 14,660.57 and 6,249.20 is: 9,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.67 : 14,660.57 = 6,249.20 : x
  2. Step 2: Convert to fraction form
    9,757.67/14,660.57 = 6,249.20/x
  3. Step 3: Cross multiply
    9,757.67x = 14,660.57 × 6,249.20
  4. Step 4: Simplify right side
    9,757.67x = 91,616,841.25
  5. Step 5: Solve for x
    x = 91,616,841.25/9,757.67
  6. Step 6: Final answer
    x = 9,389.22

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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.