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Finding the Fourth Proportional to 7,596, 11,399.40 and 2,979

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Solution

The fourth proportional to 7,596, 11,399.40 and 2,979 is: 4,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596 : 11,399.40 = 2,979 : x
  2. Step 2: Convert to fraction form
    7,596/11,399.40 = 2,979/x
  3. Step 3: Cross multiply
    7,596x = 11,399.40 × 2,979
  4. Step 4: Simplify right side
    7,596x = 33,958,812.60
  5. Step 5: Solve for x
    x = 33,958,812.60/7,596
  6. Step 6: Final answer
    x = 4,470.62

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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.