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Finding the Fourth Proportional to 27,661.68, 41,499.84 and 7,941.60

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Solution

The fourth proportional to 27,661.68, 41,499.84 and 7,941.60 is: 11,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661.68 : 41,499.84 = 7,941.60 : x
  2. Step 2: Convert to fraction form
    27,661.68/41,499.84 = 7,941.60/x
  3. Step 3: Cross multiply
    27,661.68x = 41,499.84 × 7,941.60
  4. Step 4: Simplify right side
    27,661.68x = 329,575,129.34
  5. Step 5: Solve for x
    x = 329,575,129.34/27,661.68
  6. Step 6: Final answer
    x = 11,914.50

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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.