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Finding the Fourth Proportional to 13,171.84, 18,177 and 7,203.44

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Solution

The fourth proportional to 13,171.84, 18,177 and 7,203.44 is: 9,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.84 : 18,177 = 7,203.44 : x
  2. Step 2: Convert to fraction form
    13,171.84/18,177 = 7,203.44/x
  3. Step 3: Cross multiply
    13,171.84x = 18,177 × 7,203.44
  4. Step 4: Simplify right side
    13,171.84x = 130,936,928.88
  5. Step 5: Solve for x
    x = 130,936,928.88/13,171.84
  6. Step 6: Final answer
    x = 9,940.67

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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.