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Finding the Fourth Proportional to 27,492.56, 41,238.82 and 9,736.24

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Solution

The fourth proportional to 27,492.56, 41,238.82 and 9,736.24 is: 14,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492.56 : 41,238.82 = 9,736.24 : x
  2. Step 2: Convert to fraction form
    27,492.56/41,238.82 = 9,736.24/x
  3. Step 3: Cross multiply
    27,492.56x = 41,238.82 × 9,736.24
  4. Step 4: Simplify right side
    27,492.56x = 401,511,048.84
  5. Step 5: Solve for x
    x = 401,511,048.84/27,492.56
  6. Step 6: Final answer
    x = 14,604.35

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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.