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Finding the Fourth Proportional to 12,083.86, 18,129.90 and 3,765.76

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Solution

The fourth proportional to 12,083.86, 18,129.90 and 3,765.76 is: 5,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.86 : 18,129.90 = 3,765.76 : x
  2. Step 2: Convert to fraction form
    12,083.86/18,129.90 = 3,765.76/x
  3. Step 3: Cross multiply
    12,083.86x = 18,129.90 × 3,765.76
  4. Step 4: Simplify right side
    12,083.86x = 68,272,852.22
  5. Step 5: Solve for x
    x = 68,272,852.22/12,083.86
  6. Step 6: Final answer
    x = 5,649.92

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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.