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Finding the Fourth Proportional to 6,981.69, 9,634.81 and 3,794.99

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Solution

The fourth proportional to 6,981.69, 9,634.81 and 3,794.99 is: 5,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.69 : 9,634.81 = 3,794.99 : x
  2. Step 2: Convert to fraction form
    6,981.69/9,634.81 = 3,794.99/x
  3. Step 3: Cross multiply
    6,981.69x = 9,634.81 × 3,794.99
  4. Step 4: Simplify right side
    6,981.69x = 36,564,007.60
  5. Step 5: Solve for x
    x = 36,564,007.60/6,981.69
  6. Step 6: Final answer
    x = 5,237.13

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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.