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Finding the Fourth Proportional to 14,336, 21,504 and 5,102

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Solution

The fourth proportional to 14,336, 21,504 and 5,102 is: 7,653

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,336 : 21,504 = 5,102 : x
  2. Step 2: Convert to fraction form
    14,336/21,504 = 5,102/x
  3. Step 3: Cross multiply
    14,336x = 21,504 × 5,102
  4. Step 4: Simplify right side
    14,336x = 109,713,408
  5. Step 5: Solve for x
    x = 109,713,408/14,336
  6. Step 6: Final answer
    x = 7,653

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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.