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Finding the Fourth Proportional to 6,553.60, 9,832 and 3,090

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Solution

The fourth proportional to 6,553.60, 9,832 and 3,090 is: 4,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.60 : 9,832 = 3,090 : x
  2. Step 2: Convert to fraction form
    6,553.60/9,832 = 3,090/x
  3. Step 3: Cross multiply
    6,553.60x = 9,832 × 3,090
  4. Step 4: Simplify right side
    6,553.60x = 30,380,880
  5. Step 5: Solve for x
    x = 30,380,880/6,553.60
  6. Step 6: Final answer
    x = 4,635.75

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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.