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Finding the Fourth Proportional to 27,461.54, 41,186.84 and 7,734.80

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Solution

The fourth proportional to 27,461.54, 41,186.84 and 7,734.80 is: 11,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461.54 : 41,186.84 = 7,734.80 : x
  2. Step 2: Convert to fraction form
    27,461.54/41,186.84 = 7,734.80/x
  3. Step 3: Cross multiply
    27,461.54x = 41,186.84 × 7,734.80
  4. Step 4: Simplify right side
    27,461.54x = 318,571,725.42
  5. Step 5: Solve for x
    x = 318,571,725.42/27,461.54
  6. Step 6: Final answer
    x = 11,600.65

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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.