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Finding the Fourth Proportional to 17,633.98, 26,438.01 and 8,406.46

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Solution

The fourth proportional to 17,633.98, 26,438.01 and 8,406.46 is: 12,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.98 : 26,438.01 = 8,406.46 : x
  2. Step 2: Convert to fraction form
    17,633.98/26,438.01 = 8,406.46/x
  3. Step 3: Cross multiply
    17,633.98x = 26,438.01 × 8,406.46
  4. Step 4: Simplify right side
    17,633.98x = 222,250,073.54
  5. Step 5: Solve for x
    x = 222,250,073.54/17,633.98
  6. Step 6: Final answer
    x = 12,603.51

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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.