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Finding the Fourth Proportional to 6,294.83, 9,443.61 and 1,912.64

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Solution

The fourth proportional to 6,294.83, 9,443.61 and 1,912.64 is: 2,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.83 : 9,443.61 = 1,912.64 : x
  2. Step 2: Convert to fraction form
    6,294.83/9,443.61 = 1,912.64/x
  3. Step 3: Cross multiply
    6,294.83x = 9,443.61 × 1,912.64
  4. Step 4: Simplify right side
    6,294.83x = 18,062,179.01
  5. Step 5: Solve for x
    x = 18,062,179.01/6,294.83
  6. Step 6: Final answer
    x = 2,869.37

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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.