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Finding the Fourth Proportional to 14,408, 21,612 and 3,464

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Solution

The fourth proportional to 14,408, 21,612 and 3,464 is: 5,196

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408 : 21,612 = 3,464 : x
  2. Step 2: Convert to fraction form
    14,408/21,612 = 3,464/x
  3. Step 3: Cross multiply
    14,408x = 21,612 × 3,464
  4. Step 4: Simplify right side
    14,408x = 74,863,968
  5. Step 5: Solve for x
    x = 74,863,968/14,408
  6. Step 6: Final answer
    x = 5,196

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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.