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Finding the Fourth Proportional to 4,768.77, 7,146.98 and 4,114.75

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Solution

The fourth proportional to 4,768.77, 7,146.98 and 4,114.75 is: 6,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.77 : 7,146.98 = 4,114.75 : x
  2. Step 2: Convert to fraction form
    4,768.77/7,146.98 = 4,114.75/x
  3. Step 3: Cross multiply
    4,768.77x = 7,146.98 × 4,114.75
  4. Step 4: Simplify right side
    4,768.77x = 29,408,049.49
  5. Step 5: Solve for x
    x = 29,408,049.49/4,768.77
  6. Step 6: Final answer
    x = 6,166.79

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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.