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Finding the Fourth Proportional to 5,427, 7,494.93 and 4,027.32

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Solution

The fourth proportional to 5,427, 7,494.93 and 4,027.32 is: 5,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427 : 7,494.93 = 4,027.32 : x
  2. Step 2: Convert to fraction form
    5,427/7,494.93 = 4,027.32/x
  3. Step 3: Cross multiply
    5,427x = 7,494.93 × 4,027.32
  4. Step 4: Simplify right side
    5,427x = 30,184,481.49
  5. Step 5: Solve for x
    x = 30,184,481.49/5,427
  6. Step 6: Final answer
    x = 5,561.91

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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.