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Finding the Fourth Proportional to 6,530.87, 9,797.96 and 3,023.41

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Solution

The fourth proportional to 6,530.87, 9,797.96 and 3,023.41 is: 4,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.87 : 9,797.96 = 3,023.41 : x
  2. Step 2: Convert to fraction form
    6,530.87/9,797.96 = 3,023.41/x
  3. Step 3: Cross multiply
    6,530.87x = 9,797.96 × 3,023.41
  4. Step 4: Simplify right side
    6,530.87x = 29,623,225.75
  5. Step 5: Solve for x
    x = 29,623,225.75/6,530.87
  6. Step 6: Final answer
    x = 4,535.88

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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.