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Finding the Fourth Proportional to 6,966, 10,446.48 and 2,034.36

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Solution

The fourth proportional to 6,966, 10,446.48 and 2,034.36 is: 3,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966 : 10,446.48 = 2,034.36 : x
  2. Step 2: Convert to fraction form
    6,966/10,446.48 = 2,034.36/x
  3. Step 3: Cross multiply
    6,966x = 10,446.48 × 2,034.36
  4. Step 4: Simplify right side
    6,966x = 21,251,901.05
  5. Step 5: Solve for x
    x = 21,251,901.05/6,966
  6. Step 6: Final answer
    x = 3,050.80

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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.