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Finding the Fourth Proportional to 16,828.36, 23,223 and 9,275

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Solution

The fourth proportional to 16,828.36, 23,223 and 9,275 is: 12,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.36 : 23,223 = 9,275 : x
  2. Step 2: Convert to fraction form
    16,828.36/23,223 = 9,275/x
  3. Step 3: Cross multiply
    16,828.36x = 23,223 × 9,275
  4. Step 4: Simplify right side
    16,828.36x = 215,393,325
  5. Step 5: Solve for x
    x = 215,393,325/16,828.36
  6. Step 6: Final answer
    x = 12,799.42

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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.