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Finding the Fourth Proportional to 9,663, 14,496.66 and 3,507

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Solution

The fourth proportional to 9,663, 14,496.66 and 3,507 is: 5,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663 : 14,496.66 = 3,507 : x
  2. Step 2: Convert to fraction form
    9,663/14,496.66 = 3,507/x
  3. Step 3: Cross multiply
    9,663x = 14,496.66 × 3,507
  4. Step 4: Simplify right side
    9,663x = 50,839,786.62
  5. Step 5: Solve for x
    x = 50,839,786.62/9,663
  6. Step 6: Final answer
    x = 5,261.28

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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.