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Finding the Fourth Proportional to 6,404.28, 9,608.22 and 4,651.02

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Solution

The fourth proportional to 6,404.28, 9,608.22 and 4,651.02 is: 6,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.28 : 9,608.22 = 4,651.02 : x
  2. Step 2: Convert to fraction form
    6,404.28/9,608.22 = 4,651.02/x
  3. Step 3: Cross multiply
    6,404.28x = 9,608.22 × 4,651.02
  4. Step 4: Simplify right side
    6,404.28x = 44,688,023.38
  5. Step 5: Solve for x
    x = 44,688,023.38/6,404.28
  6. Step 6: Final answer
    x = 6,977.84

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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.