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Finding the Fourth Proportional to 13,274.80, 19,912.20 and 5,489.20

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Solution

The fourth proportional to 13,274.80, 19,912.20 and 5,489.20 is: 8,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.80 : 19,912.20 = 5,489.20 : x
  2. Step 2: Convert to fraction form
    13,274.80/19,912.20 = 5,489.20/x
  3. Step 3: Cross multiply
    13,274.80x = 19,912.20 × 5,489.20
  4. Step 4: Simplify right side
    13,274.80x = 109,302,048.24
  5. Step 5: Solve for x
    x = 109,302,048.24/13,274.80
  6. Step 6: Final answer
    x = 8,233.80

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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.