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Finding the Fourth Proportional to 12,595.77, 18,893.57 and 3,830.67

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Solution

The fourth proportional to 12,595.77, 18,893.57 and 3,830.67 is: 5,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.77 : 18,893.57 = 3,830.67 : x
  2. Step 2: Convert to fraction form
    12,595.77/18,893.57 = 3,830.67/x
  3. Step 3: Cross multiply
    12,595.77x = 18,893.57 × 3,830.67
  4. Step 4: Simplify right side
    12,595.77x = 72,375,012.64
  5. Step 5: Solve for x
    x = 72,375,012.64/12,595.77
  6. Step 6: Final answer
    x = 5,745.98

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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.