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Finding the Fourth Proportional to 6,005.21, 8,288.21 and 3,768.95

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Solution

The fourth proportional to 6,005.21, 8,288.21 and 3,768.95 is: 5,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.21 : 8,288.21 = 3,768.95 : x
  2. Step 2: Convert to fraction form
    6,005.21/8,288.21 = 3,768.95/x
  3. Step 3: Cross multiply
    6,005.21x = 8,288.21 × 3,768.95
  4. Step 4: Simplify right side
    6,005.21x = 31,237,849.08
  5. Step 5: Solve for x
    x = 31,237,849.08/6,005.21
  6. Step 6: Final answer
    x = 5,201.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.