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Finding the Fourth Proportional to 16,843.25, 25,264.91 and 5,156.44

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Solution

The fourth proportional to 16,843.25, 25,264.91 and 5,156.44 is: 7,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.25 : 25,264.91 = 5,156.44 : x
  2. Step 2: Convert to fraction form
    16,843.25/25,264.91 = 5,156.44/x
  3. Step 3: Cross multiply
    16,843.25x = 25,264.91 × 5,156.44
  4. Step 4: Simplify right side
    16,843.25x = 130,276,942.25
  5. Step 5: Solve for x
    x = 130,276,942.25/16,843.25
  6. Step 6: Final answer
    x = 7,734.67

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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.