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Finding the Fourth Proportional to 4,607.41, 6,908.73 and 1,644.73

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Solution

The fourth proportional to 4,607.41, 6,908.73 and 1,644.73 is: 2,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.41 : 6,908.73 = 1,644.73 : x
  2. Step 2: Convert to fraction form
    4,607.41/6,908.73 = 1,644.73/x
  3. Step 3: Cross multiply
    4,607.41x = 6,908.73 × 1,644.73
  4. Step 4: Simplify right side
    4,607.41x = 11,362,995.49
  5. Step 5: Solve for x
    x = 11,362,995.49/4,607.41
  6. Step 6: Final answer
    x = 2,466.24

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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.