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Finding the Fourth Proportional to 14,116, 21,174 and 4,882

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Solution

The fourth proportional to 14,116, 21,174 and 4,882 is: 7,323

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116 : 21,174 = 4,882 : x
  2. Step 2: Convert to fraction form
    14,116/21,174 = 4,882/x
  3. Step 3: Cross multiply
    14,116x = 21,174 × 4,882
  4. Step 4: Simplify right side
    14,116x = 103,371,468
  5. Step 5: Solve for x
    x = 103,371,468/14,116
  6. Step 6: Final answer
    x = 7,323

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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.