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Finding the Fourth Proportional to 6,967.60, 10,441.60 and 3,849.04

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Solution

The fourth proportional to 6,967.60, 10,441.60 and 3,849.04 is: 5,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.60 : 10,441.60 = 3,849.04 : x
  2. Step 2: Convert to fraction form
    6,967.60/10,441.60 = 3,849.04/x
  3. Step 3: Cross multiply
    6,967.60x = 10,441.60 × 3,849.04
  4. Step 4: Simplify right side
    6,967.60x = 40,190,136.06
  5. Step 5: Solve for x
    x = 40,190,136.06/6,967.60
  6. Step 6: Final answer
    x = 5,768.15

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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.