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Finding the Fourth Proportional to 7,732, 11,598 and 3,628

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Solution

The fourth proportional to 7,732, 11,598 and 3,628 is: 5,442

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732 : 11,598 = 3,628 : x
  2. Step 2: Convert to fraction form
    7,732/11,598 = 3,628/x
  3. Step 3: Cross multiply
    7,732x = 11,598 × 3,628
  4. Step 4: Simplify right side
    7,732x = 42,077,544
  5. Step 5: Solve for x
    x = 42,077,544/7,732
  6. Step 6: Final answer
    x = 5,442

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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.