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Finding the Fourth Proportional to 5,971.44, 8,216.96 and 5,412.54

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Solution

The fourth proportional to 5,971.44, 8,216.96 and 5,412.54 is: 7,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.44 : 8,216.96 = 5,412.54 : x
  2. Step 2: Convert to fraction form
    5,971.44/8,216.96 = 5,412.54/x
  3. Step 3: Cross multiply
    5,971.44x = 8,216.96 × 5,412.54
  4. Step 4: Simplify right side
    5,971.44x = 44,474,624.68
  5. Step 5: Solve for x
    x = 44,474,624.68/5,971.44
  6. Step 6: Final answer
    x = 7,447.89

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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.