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Finding the Fourth Proportional to 9,536.50, 14,305.74 and 2,611

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Solution

The fourth proportional to 9,536.50, 14,305.74 and 2,611 is: 3,916.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.50 : 14,305.74 = 2,611 : x
  2. Step 2: Convert to fraction form
    9,536.50/14,305.74 = 2,611/x
  3. Step 3: Cross multiply
    9,536.50x = 14,305.74 × 2,611
  4. Step 4: Simplify right side
    9,536.50x = 37,352,287.14
  5. Step 5: Solve for x
    x = 37,352,287.14/9,536.50
  6. Step 6: Final answer
    x = 3,916.77

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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.