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Finding the Fourth Proportional to 7,802, 11,703 and 2,330

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Solution

The fourth proportional to 7,802, 11,703 and 2,330 is: 3,495

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802 : 11,703 = 2,330 : x
  2. Step 2: Convert to fraction form
    7,802/11,703 = 2,330/x
  3. Step 3: Cross multiply
    7,802x = 11,703 × 2,330
  4. Step 4: Simplify right side
    7,802x = 27,267,990
  5. Step 5: Solve for x
    x = 27,267,990/7,802
  6. Step 6: Final answer
    x = 3,495

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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.