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Finding the Fourth Proportional to 7,794.23, 11,696.81 and 7,105.32

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Solution

The fourth proportional to 7,794.23, 11,696.81 and 7,105.32 is: 10,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.23 : 11,696.81 = 7,105.32 : x
  2. Step 2: Convert to fraction form
    7,794.23/11,696.81 = 7,105.32/x
  3. Step 3: Cross multiply
    7,794.23x = 11,696.81 × 7,105.32
  4. Step 4: Simplify right side
    7,794.23x = 83,109,542.50
  5. Step 5: Solve for x
    x = 83,109,542.50/7,794.23
  6. Step 6: Final answer
    x = 10,662.96

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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.