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Finding the Fourth Proportional to 17,273, 23,836.74 and 9,822.44

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Solution

The fourth proportional to 17,273, 23,836.74 and 9,822.44 is: 13,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,273 : 23,836.74 = 9,822.44 : x
  2. Step 2: Convert to fraction form
    17,273/23,836.74 = 9,822.44/x
  3. Step 3: Cross multiply
    17,273x = 23,836.74 × 9,822.44
  4. Step 4: Simplify right side
    17,273x = 234,134,948.45
  5. Step 5: Solve for x
    x = 234,134,948.45/17,273
  6. Step 6: Final answer
    x = 13,554.97

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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.