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Finding the Fourth Proportional to 9,573.72, 13,202.82 and 6,212.94

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Solution

The fourth proportional to 9,573.72, 13,202.82 and 6,212.94 is: 8,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.72 : 13,202.82 = 6,212.94 : x
  2. Step 2: Convert to fraction form
    9,573.72/13,202.82 = 6,212.94/x
  3. Step 3: Cross multiply
    9,573.72x = 13,202.82 × 6,212.94
  4. Step 4: Simplify right side
    9,573.72x = 82,028,328.49
  5. Step 5: Solve for x
    x = 82,028,328.49/9,573.72
  6. Step 6: Final answer
    x = 8,568.07

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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.