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Finding the Fourth Proportional to 6,554, 9,043.97 and 4,568.82

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Solution

The fourth proportional to 6,554, 9,043.97 and 4,568.82 is: 6,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554 : 9,043.97 = 4,568.82 : x
  2. Step 2: Convert to fraction form
    6,554/9,043.97 = 4,568.82/x
  3. Step 3: Cross multiply
    6,554x = 9,043.97 × 4,568.82
  4. Step 4: Simplify right side
    6,554x = 41,320,271.02
  5. Step 5: Solve for x
    x = 41,320,271.02/6,554
  6. Step 6: Final answer
    x = 6,304.59

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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.