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Finding the Fourth Proportional to 4,944.63, 7,451.34 and 4,476.25

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Solution

The fourth proportional to 4,944.63, 7,451.34 and 4,476.25 is: 6,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.63 : 7,451.34 = 4,476.25 : x
  2. Step 2: Convert to fraction form
    4,944.63/7,451.34 = 4,476.25/x
  3. Step 3: Cross multiply
    4,944.63x = 7,451.34 × 4,476.25
  4. Step 4: Simplify right side
    4,944.63x = 33,354,058.83
  5. Step 5: Solve for x
    x = 33,354,058.83/4,944.63
  6. Step 6: Final answer
    x = 6,745.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.