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Finding the Fourth Proportional to 27,684.34, 41,525.06 and 7,962.12

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Solution

The fourth proportional to 27,684.34, 41,525.06 and 7,962.12 is: 11,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.34 : 41,525.06 = 7,962.12 : x
  2. Step 2: Convert to fraction form
    27,684.34/41,525.06 = 7,962.12/x
  3. Step 3: Cross multiply
    27,684.34x = 41,525.06 × 7,962.12
  4. Step 4: Simplify right side
    27,684.34x = 330,627,470.92
  5. Step 5: Solve for x
    x = 330,627,470.92/27,684.34
  6. Step 6: Final answer
    x = 11,942.76

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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.