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Finding the Fourth Proportional to 6,353.70, 9,536.68 and 3,069.10

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Solution

The fourth proportional to 6,353.70, 9,536.68 and 3,069.10 is: 4,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.70 : 9,536.68 = 3,069.10 : x
  2. Step 2: Convert to fraction form
    6,353.70/9,536.68 = 3,069.10/x
  3. Step 3: Cross multiply
    6,353.70x = 9,536.68 × 3,069.10
  4. Step 4: Simplify right side
    6,353.70x = 29,269,024.59
  5. Step 5: Solve for x
    x = 29,269,024.59/6,353.70
  6. Step 6: Final answer
    x = 4,606.61

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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.