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Finding the Fourth Proportional to 6,311.79, 9,464.76 and 3,021.27

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Solution

The fourth proportional to 6,311.79, 9,464.76 and 3,021.27 is: 4,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.79 : 9,464.76 = 3,021.27 : x
  2. Step 2: Convert to fraction form
    6,311.79/9,464.76 = 3,021.27/x
  3. Step 3: Cross multiply
    6,311.79x = 9,464.76 × 3,021.27
  4. Step 4: Simplify right side
    6,311.79x = 28,595,595.45
  5. Step 5: Solve for x
    x = 28,595,595.45/6,311.79
  6. Step 6: Final answer
    x = 4,530.50

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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.