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Finding the Fourth Proportional to 27,941.96, 41,907.98 and 9,222.26

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Solution

The fourth proportional to 27,941.96, 41,907.98 and 9,222.26 is: 13,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941.96 : 41,907.98 = 9,222.26 : x
  2. Step 2: Convert to fraction form
    27,941.96/41,907.98 = 9,222.26/x
  3. Step 3: Cross multiply
    27,941.96x = 41,907.98 × 9,222.26
  4. Step 4: Simplify right side
    27,941.96x = 386,486,101.15
  5. Step 5: Solve for x
    x = 386,486,101.15/27,941.96
  6. Step 6: Final answer
    x = 13,831.75

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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.