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Finding the Fourth Proportional to 6,466.37, 8,922.49 and 3,813.41

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Solution

The fourth proportional to 6,466.37, 8,922.49 and 3,813.41 is: 5,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.37 : 8,922.49 = 3,813.41 : x
  2. Step 2: Convert to fraction form
    6,466.37/8,922.49 = 3,813.41/x
  3. Step 3: Cross multiply
    6,466.37x = 8,922.49 × 3,813.41
  4. Step 4: Simplify right side
    6,466.37x = 34,025,125.36
  5. Step 5: Solve for x
    x = 34,025,125.36/6,466.37
  6. Step 6: Final answer
    x = 5,261.86

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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.