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Finding the Fourth Proportional to 4,825.46, 7,226.94 and 4,692.45

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Solution

The fourth proportional to 4,825.46, 7,226.94 and 4,692.45 is: 7,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.46 : 7,226.94 = 4,692.45 : x
  2. Step 2: Convert to fraction form
    4,825.46/7,226.94 = 4,692.45/x
  3. Step 3: Cross multiply
    4,825.46x = 7,226.94 × 4,692.45
  4. Step 4: Simplify right side
    4,825.46x = 33,912,054.60
  5. Step 5: Solve for x
    x = 33,912,054.60/4,825.46
  6. Step 6: Final answer
    x = 7,027.74

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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.