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Finding the Fourth Proportional to 10,672.38, 14,728.46 and 6,197.54

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Solution

The fourth proportional to 10,672.38, 14,728.46 and 6,197.54 is: 8,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.38 : 14,728.46 = 6,197.54 : x
  2. Step 2: Convert to fraction form
    10,672.38/14,728.46 = 6,197.54/x
  3. Step 3: Cross multiply
    10,672.38x = 14,728.46 × 6,197.54
  4. Step 4: Simplify right side
    10,672.38x = 91,280,115.36
  5. Step 5: Solve for x
    x = 91,280,115.36/10,672.38
  6. Step 6: Final answer
    x = 8,552.93

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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.