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Finding the Fourth Proportional to 16,238.98, 22,408.05 and 9,164.98

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Solution

The fourth proportional to 16,238.98, 22,408.05 and 9,164.98 is: 12,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.98 : 22,408.05 = 9,164.98 : x
  2. Step 2: Convert to fraction form
    16,238.98/22,408.05 = 9,164.98/x
  3. Step 3: Cross multiply
    16,238.98x = 22,408.05 × 9,164.98
  4. Step 4: Simplify right side
    16,238.98x = 205,369,330.09
  5. Step 5: Solve for x
    x = 205,369,330.09/16,238.98
  6. Step 6: Final answer
    x = 12,646.69

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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.