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Finding the Fourth Proportional to 6,304.62, 9,456.90 and 1,922.10

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Solution

The fourth proportional to 6,304.62, 9,456.90 and 1,922.10 is: 2,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.62 : 9,456.90 = 1,922.10 : x
  2. Step 2: Convert to fraction form
    6,304.62/9,456.90 = 1,922.10/x
  3. Step 3: Cross multiply
    6,304.62x = 9,456.90 × 1,922.10
  4. Step 4: Simplify right side
    6,304.62x = 18,177,107.49
  5. Step 5: Solve for x
    x = 18,177,107.49/6,304.62
  6. Step 6: Final answer
    x = 2,883.14

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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.