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Finding the Fourth Proportional to 17,086.40, 23,578.92 and 9,634.40

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Solution

The fourth proportional to 17,086.40, 23,578.92 and 9,634.40 is: 13,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,086.40 : 23,578.92 = 9,634.40 : x
  2. Step 2: Convert to fraction form
    17,086.40/23,578.92 = 9,634.40/x
  3. Step 3: Cross multiply
    17,086.40x = 23,578.92 × 9,634.40
  4. Step 4: Simplify right side
    17,086.40x = 227,168,746.85
  5. Step 5: Solve for x
    x = 227,168,746.85/17,086.40
  6. Step 6: Final answer
    x = 13,295.30

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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.