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Finding the Fourth Proportional to 18,415.96, 27,638.52 and 8,035

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Solution

The fourth proportional to 18,415.96, 27,638.52 and 8,035 is: 12,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415.96 : 27,638.52 = 8,035 : x
  2. Step 2: Convert to fraction form
    18,415.96/27,638.52 = 8,035/x
  3. Step 3: Cross multiply
    18,415.96x = 27,638.52 × 8,035
  4. Step 4: Simplify right side
    18,415.96x = 222,075,508.20
  5. Step 5: Solve for x
    x = 222,075,508.20/18,415.96
  6. Step 6: Final answer
    x = 12,058.86

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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.