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Finding the Fourth Proportional to 17,279, 23,845.02 and 9,827

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Solution

The fourth proportional to 17,279, 23,845.02 and 9,827 is: 13,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,279 : 23,845.02 = 9,827 : x
  2. Step 2: Convert to fraction form
    17,279/23,845.02 = 9,827/x
  3. Step 3: Cross multiply
    17,279x = 23,845.02 × 9,827
  4. Step 4: Simplify right side
    17,279x = 234,325,011.54
  5. Step 5: Solve for x
    x = 234,325,011.54/17,279
  6. Step 6: Final answer
    x = 13,561.26

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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.