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Finding the Fourth Proportional to 7,914, 11,870.94 and 3,233

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Solution

The fourth proportional to 7,914, 11,870.94 and 3,233 is: 4,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914 : 11,870.94 = 3,233 : x
  2. Step 2: Convert to fraction form
    7,914/11,870.94 = 3,233/x
  3. Step 3: Cross multiply
    7,914x = 11,870.94 × 3,233
  4. Step 4: Simplify right side
    7,914x = 38,378,749.02
  5. Step 5: Solve for x
    x = 38,378,749.02/7,914
  6. Step 6: Final answer
    x = 4,849.48

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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.