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Finding the Fourth Proportional to 6,573.38, 9,071.46 and 3,589.41

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Solution

The fourth proportional to 6,573.38, 9,071.46 and 3,589.41 is: 4,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.38 : 9,071.46 = 3,589.41 : x
  2. Step 2: Convert to fraction form
    6,573.38/9,071.46 = 3,589.41/x
  3. Step 3: Cross multiply
    6,573.38x = 9,071.46 × 3,589.41
  4. Step 4: Simplify right side
    6,573.38x = 32,561,189.24
  5. Step 5: Solve for x
    x = 32,561,189.24/6,573.38
  6. Step 6: Final answer
    x = 4,953.50

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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.