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Finding the Fourth Proportional to 6,397.44, 9,588 and 2,883.68

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Solution

The fourth proportional to 6,397.44, 9,588 and 2,883.68 is: 4,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.44 : 9,588 = 2,883.68 : x
  2. Step 2: Convert to fraction form
    6,397.44/9,588 = 2,883.68/x
  3. Step 3: Cross multiply
    6,397.44x = 9,588 × 2,883.68
  4. Step 4: Simplify right side
    6,397.44x = 27,648,723.84
  5. Step 5: Solve for x
    x = 27,648,723.84/6,397.44
  6. Step 6: Final answer
    x = 4,321.84

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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.