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Finding the Fourth Proportional to 13,202.50, 19,803.75 and 3,968.50

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Solution

The fourth proportional to 13,202.50, 19,803.75 and 3,968.50 is: 5,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.50 : 19,803.75 = 3,968.50 : x
  2. Step 2: Convert to fraction form
    13,202.50/19,803.75 = 3,968.50/x
  3. Step 3: Cross multiply
    13,202.50x = 19,803.75 × 3,968.50
  4. Step 4: Simplify right side
    13,202.50x = 78,591,181.88
  5. Step 5: Solve for x
    x = 78,591,181.88/13,202.50
  6. Step 6: Final answer
    x = 5,952.75

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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.