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Finding the Fourth Proportional to 4,744.56, 6,546.03 and 3,066.90

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Solution

The fourth proportional to 4,744.56, 6,546.03 and 3,066.90 is: 4,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.56 : 6,546.03 = 3,066.90 : x
  2. Step 2: Convert to fraction form
    4,744.56/6,546.03 = 3,066.90/x
  3. Step 3: Cross multiply
    4,744.56x = 6,546.03 × 3,066.90
  4. Step 4: Simplify right side
    4,744.56x = 20,076,019.41
  5. Step 5: Solve for x
    x = 20,076,019.41/4,744.56
  6. Step 6: Final answer
    x = 4,231.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.