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Finding the Fourth Proportional to 6,769.42, 10,146.70 and 3,482.68

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Solution

The fourth proportional to 6,769.42, 10,146.70 and 3,482.68 is: 5,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.42 : 10,146.70 = 3,482.68 : x
  2. Step 2: Convert to fraction form
    6,769.42/10,146.70 = 3,482.68/x
  3. Step 3: Cross multiply
    6,769.42x = 10,146.70 × 3,482.68
  4. Step 4: Simplify right side
    6,769.42x = 35,337,709.16
  5. Step 5: Solve for x
    x = 35,337,709.16/6,769.42
  6. Step 6: Final answer
    x = 5,220.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.