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Finding the Fourth Proportional to 4,770.44, 7,102.21 and 4,747.34

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Solution

The fourth proportional to 4,770.44, 7,102.21 and 4,747.34 is: 7,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.44 : 7,102.21 = 4,747.34 : x
  2. Step 2: Convert to fraction form
    4,770.44/7,102.21 = 4,747.34/x
  3. Step 3: Cross multiply
    4,770.44x = 7,102.21 × 4,747.34
  4. Step 4: Simplify right side
    4,770.44x = 33,716,605.62
  5. Step 5: Solve for x
    x = 33,716,605.62/4,770.44
  6. Step 6: Final answer
    x = 7,067.82

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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.