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Finding the Fourth Proportional to 6,351, 9,530.34 and 2,703

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Solution

The fourth proportional to 6,351, 9,530.34 and 2,703 is: 4,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351 : 9,530.34 = 2,703 : x
  2. Step 2: Convert to fraction form
    6,351/9,530.34 = 2,703/x
  3. Step 3: Cross multiply
    6,351x = 9,530.34 × 2,703
  4. Step 4: Simplify right side
    6,351x = 25,760,509.02
  5. Step 5: Solve for x
    x = 25,760,509.02/6,351
  6. Step 6: Final answer
    x = 4,056.13

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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.