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Finding the Fourth Proportional to 10,679, 16,020.54 and 3,282.14

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Solution

The fourth proportional to 10,679, 16,020.54 and 3,282.14 is: 4,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679 : 16,020.54 = 3,282.14 : x
  2. Step 2: Convert to fraction form
    10,679/16,020.54 = 3,282.14/x
  3. Step 3: Cross multiply
    10,679x = 16,020.54 × 3,282.14
  4. Step 4: Simplify right side
    10,679x = 52,581,655.16
  5. Step 5: Solve for x
    x = 52,581,655.16/10,679
  6. Step 6: Final answer
    x = 4,923.84

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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.