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Finding the Fourth Proportional to 6,512, 9,768 and 3,776

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Solution

The fourth proportional to 6,512, 9,768 and 3,776 is: 5,664

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512 : 9,768 = 3,776 : x
  2. Step 2: Convert to fraction form
    6,512/9,768 = 3,776/x
  3. Step 3: Cross multiply
    6,512x = 9,768 × 3,776
  4. Step 4: Simplify right side
    6,512x = 36,883,968
  5. Step 5: Solve for x
    x = 36,883,968/6,512
  6. Step 6: Final answer
    x = 5,664

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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.