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Finding the Fourth Proportional to 7,093.65, 9,790.96 and 4,109

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Solution

The fourth proportional to 7,093.65, 9,790.96 and 4,109 is: 5,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.65 : 9,790.96 = 4,109 : x
  2. Step 2: Convert to fraction form
    7,093.65/9,790.96 = 4,109/x
  3. Step 3: Cross multiply
    7,093.65x = 9,790.96 × 4,109
  4. Step 4: Simplify right side
    7,093.65x = 40,231,054.64
  5. Step 5: Solve for x
    x = 40,231,054.64/7,093.65
  6. Step 6: Final answer
    x = 5,671.42

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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.