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Finding the Fourth Proportional to 7,914.50, 11,864 and 6,436.76

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Solution

The fourth proportional to 7,914.50, 11,864 and 6,436.76 is: 9,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.50 : 11,864 = 6,436.76 : x
  2. Step 2: Convert to fraction form
    7,914.50/11,864 = 6,436.76/x
  3. Step 3: Cross multiply
    7,914.50x = 11,864 × 6,436.76
  4. Step 4: Simplify right side
    7,914.50x = 76,365,720.64
  5. Step 5: Solve for x
    x = 76,365,720.64/7,914.50
  6. Step 6: Final answer
    x = 9,648.84

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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.