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Finding the Fourth Proportional to 6,294.80, 9,442.24 and 1,912.30

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Solution

The fourth proportional to 6,294.80, 9,442.24 and 1,912.30 is: 2,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.80 : 9,442.24 = 1,912.30 : x
  2. Step 2: Convert to fraction form
    6,294.80/9,442.24 = 1,912.30/x
  3. Step 3: Cross multiply
    6,294.80x = 9,442.24 × 1,912.30
  4. Step 4: Simplify right side
    6,294.80x = 18,056,367.17
  5. Step 5: Solve for x
    x = 18,056,367.17/6,294.80
  6. Step 6: Final answer
    x = 2,868.46

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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.