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Finding the Fourth Proportional to 6,383.52, 9,558 and 5,335.20

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Solution

The fourth proportional to 6,383.52, 9,558 and 5,335.20 is: 7,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.52 : 9,558 = 5,335.20 : x
  2. Step 2: Convert to fraction form
    6,383.52/9,558 = 5,335.20/x
  3. Step 3: Cross multiply
    6,383.52x = 9,558 × 5,335.20
  4. Step 4: Simplify right side
    6,383.52x = 50,993,841.60
  5. Step 5: Solve for x
    x = 50,993,841.60/6,383.52
  6. Step 6: Final answer
    x = 7,988.36

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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.