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Finding the Fourth Proportional to 4,747.72, 7,112.94 and 4,644.04

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Solution

The fourth proportional to 4,747.72, 7,112.94 and 4,644.04 is: 6,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.72 : 7,112.94 = 4,644.04 : x
  2. Step 2: Convert to fraction form
    4,747.72/7,112.94 = 4,644.04/x
  3. Step 3: Cross multiply
    4,747.72x = 7,112.94 × 4,644.04
  4. Step 4: Simplify right side
    4,747.72x = 33,032,777.88
  5. Step 5: Solve for x
    x = 33,032,777.88/4,747.72
  6. Step 6: Final answer
    x = 6,957.61

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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.