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Finding the Fourth Proportional to 4,932.84, 7,396.80 and 1,644.78

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Solution

The fourth proportional to 4,932.84, 7,396.80 and 1,644.78 is: 2,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.84 : 7,396.80 = 1,644.78 : x
  2. Step 2: Convert to fraction form
    4,932.84/7,396.80 = 1,644.78/x
  3. Step 3: Cross multiply
    4,932.84x = 7,396.80 × 1,644.78
  4. Step 4: Simplify right side
    4,932.84x = 12,166,108.70
  5. Step 5: Solve for x
    x = 12,166,108.70/4,932.84
  6. Step 6: Final answer
    x = 2,466.35

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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.