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Finding the Fourth Proportional to 13,752, 20,628 and 7,596

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Solution

The fourth proportional to 13,752, 20,628 and 7,596 is: 11,394

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752 : 20,628 = 7,596 : x
  2. Step 2: Convert to fraction form
    13,752/20,628 = 7,596/x
  3. Step 3: Cross multiply
    13,752x = 20,628 × 7,596
  4. Step 4: Simplify right side
    13,752x = 156,690,288
  5. Step 5: Solve for x
    x = 156,690,288/13,752
  6. Step 6: Final answer
    x = 11,394

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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.