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Finding the Fourth Proportional to 6,548.78, 9,824.99 and 2,169.32

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Solution

The fourth proportional to 6,548.78, 9,824.99 and 2,169.32 is: 3,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.78 : 9,824.99 = 2,169.32 : x
  2. Step 2: Convert to fraction form
    6,548.78/9,824.99 = 2,169.32/x
  3. Step 3: Cross multiply
    6,548.78x = 9,824.99 × 2,169.32
  4. Step 4: Simplify right side
    6,548.78x = 21,313,487.34
  5. Step 5: Solve for x
    x = 21,313,487.34/6,548.78
  6. Step 6: Final answer
    x = 3,254.57

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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.