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Finding the Fourth Proportional to 16,274.21, 22,458.03 and 9,200.48

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Solution

The fourth proportional to 16,274.21, 22,458.03 and 9,200.48 is: 12,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.21 : 22,458.03 = 9,200.48 : x
  2. Step 2: Convert to fraction form
    16,274.21/22,458.03 = 9,200.48/x
  3. Step 3: Cross multiply
    16,274.21x = 22,458.03 × 9,200.48
  4. Step 4: Simplify right side
    16,274.21x = 206,624,543.56
  5. Step 5: Solve for x
    x = 206,624,543.56/16,274.21
  6. Step 6: Final answer
    x = 12,696.44

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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.