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Finding the Fourth Proportional to 11,893.98, 16,376.22 and 9,052.24

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Solution

The fourth proportional to 11,893.98, 16,376.22 and 9,052.24 is: 12,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.98 : 16,376.22 = 9,052.24 : x
  2. Step 2: Convert to fraction form
    11,893.98/16,376.22 = 9,052.24/x
  3. Step 3: Cross multiply
    11,893.98x = 16,376.22 × 9,052.24
  4. Step 4: Simplify right side
    11,893.98x = 148,241,473.73
  5. Step 5: Solve for x
    x = 148,241,473.73/11,893.98
  6. Step 6: Final answer
    x = 12,463.57

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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.