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Finding the Fourth Proportional to 17,367, 23,966.44 and 9,409.15

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Solution

The fourth proportional to 17,367, 23,966.44 and 9,409.15 is: 12,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,367 : 23,966.44 = 9,409.15 : x
  2. Step 2: Convert to fraction form
    17,367/23,966.44 = 9,409.15/x
  3. Step 3: Cross multiply
    17,367x = 23,966.44 × 9,409.15
  4. Step 4: Simplify right side
    17,367x = 225,503,828.93
  5. Step 5: Solve for x
    x = 225,503,828.93/17,367
  6. Step 6: Final answer
    x = 12,984.62

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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.