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Finding the Fourth Proportional to 8,058.94, 11,122.00 and 4,474.23

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Solution

The fourth proportional to 8,058.94, 11,122.00 and 4,474.23 is: 6,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.94 : 11,122.00 = 4,474.23 : x
  2. Step 2: Convert to fraction form
    8,058.94/11,122.00 = 4,474.23/x
  3. Step 3: Cross multiply
    8,058.94x = 11,122.00 × 4,474.23
  4. Step 4: Simplify right side
    8,058.94x = 49,762,374.87
  5. Step 5: Solve for x
    x = 49,762,374.87/8,058.94
  6. Step 6: Final answer
    x = 6,174.81

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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.