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Finding the Fourth Proportional to 6,504.24, 8,966.49 and 4,638

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Solution

The fourth proportional to 6,504.24, 8,966.49 and 4,638 is: 6,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.24 : 8,966.49 = 4,638 : x
  2. Step 2: Convert to fraction form
    6,504.24/8,966.49 = 4,638/x
  3. Step 3: Cross multiply
    6,504.24x = 8,966.49 × 4,638
  4. Step 4: Simplify right side
    6,504.24x = 41,586,580.62
  5. Step 5: Solve for x
    x = 41,586,580.62/6,504.24
  6. Step 6: Final answer
    x = 6,393.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.