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Finding the Fourth Proportional to 10,794.75, 16,192.23 and 3,774.75

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Solution

The fourth proportional to 10,794.75, 16,192.23 and 3,774.75 is: 5,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.75 : 16,192.23 = 3,774.75 : x
  2. Step 2: Convert to fraction form
    10,794.75/16,192.23 = 3,774.75/x
  3. Step 3: Cross multiply
    10,794.75x = 16,192.23 × 3,774.75
  4. Step 4: Simplify right side
    10,794.75x = 61,121,620.19
  5. Step 5: Solve for x
    x = 61,121,620.19/10,794.75
  6. Step 6: Final answer
    x = 5,662.16

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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.