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Finding the Fourth Proportional to 5,047.72, 6,966.47 and 3,058.27

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Solution

The fourth proportional to 5,047.72, 6,966.47 and 3,058.27 is: 4,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.72 : 6,966.47 = 3,058.27 : x
  2. Step 2: Convert to fraction form
    5,047.72/6,966.47 = 3,058.27/x
  3. Step 3: Cross multiply
    5,047.72x = 6,966.47 × 3,058.27
  4. Step 4: Simplify right side
    5,047.72x = 21,305,333.33
  5. Step 5: Solve for x
    x = 21,305,333.33/5,047.72
  6. Step 6: Final answer
    x = 4,220.79

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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.