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Finding the Fourth Proportional to 12,596.00, 18,883.94 and 8,158.19

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Solution

The fourth proportional to 12,596.00, 18,883.94 and 8,158.19 is: 12,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.00 : 18,883.94 = 8,158.19 : x
  2. Step 2: Convert to fraction form
    12,596.00/18,883.94 = 8,158.19/x
  3. Step 3: Cross multiply
    12,596.00x = 18,883.94 × 8,158.19
  4. Step 4: Simplify right side
    12,596.00x = 154,058,635.26
  5. Step 5: Solve for x
    x = 154,058,635.26/12,596.00
  6. Step 6: Final answer
    x = 12,230.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.