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Finding the Fourth Proportional to 7,970.99, 11,956.50 and 3,293.66

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Solution

The fourth proportional to 7,970.99, 11,956.50 and 3,293.66 is: 4,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.99 : 11,956.50 = 3,293.66 : x
  2. Step 2: Convert to fraction form
    7,970.99/11,956.50 = 3,293.66/x
  3. Step 3: Cross multiply
    7,970.99x = 11,956.50 × 3,293.66
  4. Step 4: Simplify right side
    7,970.99x = 39,380,645.79
  5. Step 5: Solve for x
    x = 39,380,645.79/7,970.99
  6. Step 6: Final answer
    x = 4,940.50

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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.