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Finding the Fourth Proportional to 10,255.50, 14,151.06 and 6,006.96

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Solution

The fourth proportional to 10,255.50, 14,151.06 and 6,006.96 is: 8,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.50 : 14,151.06 = 6,006.96 : x
  2. Step 2: Convert to fraction form
    10,255.50/14,151.06 = 6,006.96/x
  3. Step 3: Cross multiply
    10,255.50x = 14,151.06 × 6,006.96
  4. Step 4: Simplify right side
    10,255.50x = 85,004,851.38
  5. Step 5: Solve for x
    x = 85,004,851.38/10,255.50
  6. Step 6: Final answer
    x = 8,288.71

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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.