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Finding the Fourth Proportional to 7,308, 10,962 and 2,114.28

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Solution

The fourth proportional to 7,308, 10,962 and 2,114.28 is: 3,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308 : 10,962 = 2,114.28 : x
  2. Step 2: Convert to fraction form
    7,308/10,962 = 2,114.28/x
  3. Step 3: Cross multiply
    7,308x = 10,962 × 2,114.28
  4. Step 4: Simplify right side
    7,308x = 23,176,737.36
  5. Step 5: Solve for x
    x = 23,176,737.36/7,308
  6. Step 6: Final answer
    x = 3,171.42

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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.