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Finding the Fourth Proportional to 27,192.56, 40,784.24 and 7,466.54

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Solution

The fourth proportional to 27,192.56, 40,784.24 and 7,466.54 is: 11,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,192.56 : 40,784.24 = 7,466.54 : x
  2. Step 2: Convert to fraction form
    27,192.56/40,784.24 = 7,466.54/x
  3. Step 3: Cross multiply
    27,192.56x = 40,784.24 × 7,466.54
  4. Step 4: Simplify right side
    27,192.56x = 304,517,159.33
  5. Step 5: Solve for x
    x = 304,517,159.33/27,192.56
  6. Step 6: Final answer
    x = 11,198.55

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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.