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Finding the Fourth Proportional to 6,776, 10,164.54 and 1,846.04

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Solution

The fourth proportional to 6,776, 10,164.54 and 1,846.04 is: 2,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776 : 10,164.54 = 1,846.04 : x
  2. Step 2: Convert to fraction form
    6,776/10,164.54 = 1,846.04/x
  3. Step 3: Cross multiply
    6,776x = 10,164.54 × 1,846.04
  4. Step 4: Simplify right side
    6,776x = 18,764,147.42
  5. Step 5: Solve for x
    x = 18,764,147.42/6,776
  6. Step 6: Final answer
    x = 2,769.21

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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.