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Finding the Fourth Proportional to 12,166.56, 16,790.16 and 7,453.44

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Solution

The fourth proportional to 12,166.56, 16,790.16 and 7,453.44 is: 10,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.56 : 16,790.16 = 7,453.44 : x
  2. Step 2: Convert to fraction form
    12,166.56/16,790.16 = 7,453.44/x
  3. Step 3: Cross multiply
    12,166.56x = 16,790.16 × 7,453.44
  4. Step 4: Simplify right side
    12,166.56x = 125,144,450.15
  5. Step 5: Solve for x
    x = 125,144,450.15/12,166.56
  6. Step 6: Final answer
    x = 10,285.94

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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.