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Finding the Fourth Proportional to 27,461.81, 41,192.71 and 9,927.54

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Solution

The fourth proportional to 27,461.81, 41,192.71 and 9,927.54 is: 14,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461.81 : 41,192.71 = 9,927.54 : x
  2. Step 2: Convert to fraction form
    27,461.81/41,192.71 = 9,927.54/x
  3. Step 3: Cross multiply
    27,461.81x = 41,192.71 × 9,927.54
  4. Step 4: Simplify right side
    27,461.81x = 408,942,020.63
  5. Step 5: Solve for x
    x = 408,942,020.63/27,461.81
  6. Step 6: Final answer
    x = 14,891.30

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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.