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Finding the Fourth Proportional to 27,548.94, 41,317.20 and 7,827.06

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Solution

The fourth proportional to 27,548.94, 41,317.20 and 7,827.06 is: 11,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548.94 : 41,317.20 = 7,827.06 : x
  2. Step 2: Convert to fraction form
    27,548.94/41,317.20 = 7,827.06/x
  3. Step 3: Cross multiply
    27,548.94x = 41,317.20 × 7,827.06
  4. Step 4: Simplify right side
    27,548.94x = 323,392,203.43
  5. Step 5: Solve for x
    x = 323,392,203.43/27,548.94
  6. Step 6: Final answer
    x = 11,738.83

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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.