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Finding the Fourth Proportional to 9,662.49, 14,493.06 and 3,738.15

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Solution

The fourth proportional to 9,662.49, 14,493.06 and 3,738.15 is: 5,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.49 : 14,493.06 = 3,738.15 : x
  2. Step 2: Convert to fraction form
    9,662.49/14,493.06 = 3,738.15/x
  3. Step 3: Cross multiply
    9,662.49x = 14,493.06 × 3,738.15
  4. Step 4: Simplify right side
    9,662.49x = 54,177,232.24
  5. Step 5: Solve for x
    x = 54,177,232.24/9,662.49
  6. Step 6: Final answer
    x = 5,606.96

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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.