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Finding the Fourth Proportional to 11,646.50, 16,072.50 and 6,341

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Solution

The fourth proportional to 11,646.50, 16,072.50 and 6,341 is: 8,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.50 : 16,072.50 = 6,341 : x
  2. Step 2: Convert to fraction form
    11,646.50/16,072.50 = 6,341/x
  3. Step 3: Cross multiply
    11,646.50x = 16,072.50 × 6,341
  4. Step 4: Simplify right side
    11,646.50x = 101,915,722.50
  5. Step 5: Solve for x
    x = 101,915,722.50/11,646.50
  6. Step 6: Final answer
    x = 8,750.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.