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Finding the Fourth Proportional to 10,489.50, 15,736.68 and 3,564

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Solution

The fourth proportional to 10,489.50, 15,736.68 and 3,564 is: 5,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.50 : 15,736.68 = 3,564 : x
  2. Step 2: Convert to fraction form
    10,489.50/15,736.68 = 3,564/x
  3. Step 3: Cross multiply
    10,489.50x = 15,736.68 × 3,564
  4. Step 4: Simplify right side
    10,489.50x = 56,085,527.52
  5. Step 5: Solve for x
    x = 56,085,527.52/10,489.50
  6. Step 6: Final answer
    x = 5,346.83

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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.