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Finding the Fourth Proportional to 20,561.34, 30,846.86 and 6,522

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Solution

The fourth proportional to 20,561.34, 30,846.86 and 6,522 is: 9,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,561.34 : 30,846.86 = 6,522 : x
  2. Step 2: Convert to fraction form
    20,561.34/30,846.86 = 6,522/x
  3. Step 3: Cross multiply
    20,561.34x = 30,846.86 × 6,522
  4. Step 4: Simplify right side
    20,561.34x = 201,183,220.92
  5. Step 5: Solve for x
    x = 201,183,220.92/20,561.34
  6. Step 6: Final answer
    x = 9,784.54

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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.