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Finding the Fourth Proportional to 9,685, 14,504.54 and 6,162.44

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Solution

The fourth proportional to 9,685, 14,504.54 and 6,162.44 is: 9,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685 : 14,504.54 = 6,162.44 : x
  2. Step 2: Convert to fraction form
    9,685/14,504.54 = 6,162.44/x
  3. Step 3: Cross multiply
    9,685x = 14,504.54 × 6,162.44
  4. Step 4: Simplify right side
    9,685x = 89,383,357.48
  5. Step 5: Solve for x
    x = 89,383,357.48/9,685
  6. Step 6: Final answer
    x = 9,229.05

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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.