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Finding the Fourth Proportional to 27,477.60, 41,198.40 and 10,827.60

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Solution

The fourth proportional to 27,477.60, 41,198.40 and 10,827.60 is: 16,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.60 : 41,198.40 = 10,827.60 : x
  2. Step 2: Convert to fraction form
    27,477.60/41,198.40 = 10,827.60/x
  3. Step 3: Cross multiply
    27,477.60x = 41,198.40 × 10,827.60
  4. Step 4: Simplify right side
    27,477.60x = 446,079,795.84
  5. Step 5: Solve for x
    x = 446,079,795.84/27,477.60
  6. Step 6: Final answer
    x = 16,234.31

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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.