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Finding the Fourth Proportional to 12,357.78, 18,536.64 and 4,149.78

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Solution

The fourth proportional to 12,357.78, 18,536.64 and 4,149.78 is: 6,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.78 : 18,536.64 = 4,149.78 : x
  2. Step 2: Convert to fraction form
    12,357.78/18,536.64 = 4,149.78/x
  3. Step 3: Cross multiply
    12,357.78x = 18,536.64 × 4,149.78
  4. Step 4: Simplify right side
    12,357.78x = 76,922,977.94
  5. Step 5: Solve for x
    x = 76,922,977.94/12,357.78
  6. Step 6: Final answer
    x = 6,224.66

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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.