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Finding the Fourth Proportional to 12,841.76, 19,262.76 and 4,076.48

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Solution

The fourth proportional to 12,841.76, 19,262.76 and 4,076.48 is: 6,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.76 : 19,262.76 = 4,076.48 : x
  2. Step 2: Convert to fraction form
    12,841.76/19,262.76 = 4,076.48/x
  3. Step 3: Cross multiply
    12,841.76x = 19,262.76 × 4,076.48
  4. Step 4: Simplify right side
    12,841.76x = 78,524,255.88
  5. Step 5: Solve for x
    x = 78,524,255.88/12,841.76
  6. Step 6: Final answer
    x = 6,114.76

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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.