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Finding the Fourth Proportional to 7,638.50, 11,457.76 and 2,166.50

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Solution

The fourth proportional to 7,638.50, 11,457.76 and 2,166.50 is: 3,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.50 : 11,457.76 = 2,166.50 : x
  2. Step 2: Convert to fraction form
    7,638.50/11,457.76 = 2,166.50/x
  3. Step 3: Cross multiply
    7,638.50x = 11,457.76 × 2,166.50
  4. Step 4: Simplify right side
    7,638.50x = 24,823,237.04
  5. Step 5: Solve for x
    x = 24,823,237.04/7,638.50
  6. Step 6: Final answer
    x = 3,249.75

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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.