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Finding the Fourth Proportional to 27,906.68, 41,860.12 and 6,846.86

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Solution

The fourth proportional to 27,906.68, 41,860.12 and 6,846.86 is: 10,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.68 : 41,860.12 = 6,846.86 : x
  2. Step 2: Convert to fraction form
    27,906.68/41,860.12 = 6,846.86/x
  3. Step 3: Cross multiply
    27,906.68x = 41,860.12 × 6,846.86
  4. Step 4: Simplify right side
    27,906.68x = 286,610,381.22
  5. Step 5: Solve for x
    x = 286,610,381.22/27,906.68
  6. Step 6: Final answer
    x = 10,270.31

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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.