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Finding the Fourth Proportional to 9,626, 14,439 and 2,330

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Solution

The fourth proportional to 9,626, 14,439 and 2,330 is: 3,495

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626 : 14,439 = 2,330 : x
  2. Step 2: Convert to fraction form
    9,626/14,439 = 2,330/x
  3. Step 3: Cross multiply
    9,626x = 14,439 × 2,330
  4. Step 4: Simplify right side
    9,626x = 33,642,870
  5. Step 5: Solve for x
    x = 33,642,870/9,626
  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.