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Finding the Fourth Proportional to 7,771.98, 11,657.99 and 2,841.62

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Solution

The fourth proportional to 7,771.98, 11,657.99 and 2,841.62 is: 4,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.98 : 11,657.99 = 2,841.62 : x
  2. Step 2: Convert to fraction form
    7,771.98/11,657.99 = 2,841.62/x
  3. Step 3: Cross multiply
    7,771.98x = 11,657.99 × 2,841.62
  4. Step 4: Simplify right side
    7,771.98x = 33,127,526.36
  5. Step 5: Solve for x
    x = 33,127,526.36/7,771.98
  6. Step 6: Final answer
    x = 4,262.43

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1.5x scale

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.