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Finding the Fourth Proportional to 6,843.69, 10,265.97 and 2,894.21

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Solution

The fourth proportional to 6,843.69, 10,265.97 and 2,894.21 is: 4,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.69 : 10,265.97 = 2,894.21 : x
  2. Step 2: Convert to fraction form
    6,843.69/10,265.97 = 2,894.21/x
  3. Step 3: Cross multiply
    6,843.69x = 10,265.97 × 2,894.21
  4. Step 4: Simplify right side
    6,843.69x = 29,711,873.03
  5. Step 5: Solve for x
    x = 29,711,873.03/6,843.69
  6. Step 6: Final answer
    x = 4,341.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.