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Finding the Fourth Proportional to 9,606.24, 13,257.27 and 6,069.24

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Solution

The fourth proportional to 9,606.24, 13,257.27 and 6,069.24 is: 8,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.24 : 13,257.27 = 6,069.24 : x
  2. Step 2: Convert to fraction form
    9,606.24/13,257.27 = 6,069.24/x
  3. Step 3: Cross multiply
    9,606.24x = 13,257.27 × 6,069.24
  4. Step 4: Simplify right side
    9,606.24x = 80,461,553.37
  5. Step 5: Solve for x
    x = 80,461,553.37/9,606.24
  6. Step 6: Final answer
    x = 8,375.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.