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Finding the Fourth Proportional to 6,489.58, 9,672.62 and 6,120.48

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Solution

The fourth proportional to 6,489.58, 9,672.62 and 6,120.48 is: 9,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.58 : 9,672.62 = 6,120.48 : x
  2. Step 2: Convert to fraction form
    6,489.58/9,672.62 = 6,120.48/x
  3. Step 3: Cross multiply
    6,489.58x = 9,672.62 × 6,120.48
  4. Step 4: Simplify right side
    6,489.58x = 59,201,077.26
  5. Step 5: Solve for x
    x = 59,201,077.26/6,489.58
  6. Step 6: Final answer
    x = 9,122.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.