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Finding the Fourth Proportional to 4,843.84, 7,212.17 and 4,644.58

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Solution

The fourth proportional to 4,843.84, 7,212.17 and 4,644.58 is: 6,915.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.84 : 7,212.17 = 4,644.58 : x
  2. Step 2: Convert to fraction form
    4,843.84/7,212.17 = 4,644.58/x
  3. Step 3: Cross multiply
    4,843.84x = 7,212.17 × 4,644.58
  4. Step 4: Simplify right side
    4,843.84x = 33,497,500.54
  5. Step 5: Solve for x
    x = 33,497,500.54/4,843.84
  6. Step 6: Final answer
    x = 6,915.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.