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Finding the Fourth Proportional to 14,372, 21,558 and 6,164

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Solution

The fourth proportional to 14,372, 21,558 and 6,164 is: 9,246

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372 : 21,558 = 6,164 : x
  2. Step 2: Convert to fraction form
    14,372/21,558 = 6,164/x
  3. Step 3: Cross multiply
    14,372x = 21,558 × 6,164
  4. Step 4: Simplify right side
    14,372x = 132,883,512
  5. Step 5: Solve for x
    x = 132,883,512/14,372
  6. Step 6: Final answer
    x = 9,246

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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.