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Finding the Fourth Proportional to 27,941.60, 41,911.20 and 9,473.60

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Solution

The fourth proportional to 27,941.60, 41,911.20 and 9,473.60 is: 14,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941.60 : 41,911.20 = 9,473.60 : x
  2. Step 2: Convert to fraction form
    27,941.60/41,911.20 = 9,473.60/x
  3. Step 3: Cross multiply
    27,941.60x = 41,911.20 × 9,473.60
  4. Step 4: Simplify right side
    27,941.60x = 397,049,944.32
  5. Step 5: Solve for x
    x = 397,049,944.32/27,941.60
  6. Step 6: Final answer
    x = 14,209.99

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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.