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Finding the Fourth Proportional to 9,524, 14,286 and 4,052

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Solution

The fourth proportional to 9,524, 14,286 and 4,052 is: 6,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524 : 14,286 = 4,052 : x
  2. Step 2: Convert to fraction form
    9,524/14,286 = 4,052/x
  3. Step 3: Cross multiply
    9,524x = 14,286 × 4,052
  4. Step 4: Simplify right side
    9,524x = 57,886,872
  5. Step 5: Solve for x
    x = 57,886,872/9,524
  6. Step 6: Final answer
    x = 6,078

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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.