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Finding the Fourth Proportional to 27,525.94, 41,282.82 and 7,804.06

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Solution

The fourth proportional to 27,525.94, 41,282.82 and 7,804.06 is: 11,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,525.94 : 41,282.82 = 7,804.06 : x
  2. Step 2: Convert to fraction form
    27,525.94/41,282.82 = 7,804.06/x
  3. Step 3: Cross multiply
    27,525.94x = 41,282.82 × 7,804.06
  4. Step 4: Simplify right side
    27,525.94x = 322,173,604.25
  5. Step 5: Solve for x
    x = 322,173,604.25/27,525.94
  6. Step 6: Final answer
    x = 11,704.36

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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.