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Finding the Fourth Proportional to 6,662.94, 9,195.40 and 3,830.78

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Solution

The fourth proportional to 6,662.94, 9,195.40 and 3,830.78 is: 5,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.94 : 9,195.40 = 3,830.78 : x
  2. Step 2: Convert to fraction form
    6,662.94/9,195.40 = 3,830.78/x
  3. Step 3: Cross multiply
    6,662.94x = 9,195.40 × 3,830.78
  4. Step 4: Simplify right side
    6,662.94x = 35,225,554.41
  5. Step 5: Solve for x
    x = 35,225,554.41/6,662.94
  6. Step 6: Final answer
    x = 5,286.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.