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Finding the Fourth Proportional to 9,586, 14,379 and 4,114

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Solution

The fourth proportional to 9,586, 14,379 and 4,114 is: 6,171

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586 : 14,379 = 4,114 : x
  2. Step 2: Convert to fraction form
    9,586/14,379 = 4,114/x
  3. Step 3: Cross multiply
    9,586x = 14,379 × 4,114
  4. Step 4: Simplify right side
    9,586x = 59,155,206
  5. Step 5: Solve for x
    x = 59,155,206/9,586
  6. Step 6: Final answer
    x = 6,171

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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.