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Finding the Fourth Proportional to 6,609, 9,913.50 and 2,505

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Solution

The fourth proportional to 6,609, 9,913.50 and 2,505 is: 3,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609 : 9,913.50 = 2,505 : x
  2. Step 2: Convert to fraction form
    6,609/9,913.50 = 2,505/x
  3. Step 3: Cross multiply
    6,609x = 9,913.50 × 2,505
  4. Step 4: Simplify right side
    6,609x = 24,833,317.50
  5. Step 5: Solve for x
    x = 24,833,317.50/6,609
  6. Step 6: Final answer
    x = 3,757.50

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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.