Home / 10,285.28-14,195.76-6,096

Finding the Fourth Proportional to 10,285.28, 14,195.76 and 6,096

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Solution

The fourth proportional to 10,285.28, 14,195.76 and 6,096 is: 8,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.28 : 14,195.76 = 6,096 : x
  2. Step 2: Convert to fraction form
    10,285.28/14,195.76 = 6,096/x
  3. Step 3: Cross multiply
    10,285.28x = 14,195.76 × 6,096
  4. Step 4: Simplify right side
    10,285.28x = 86,537,352.96
  5. Step 5: Solve for x
    x = 86,537,352.96/10,285.28
  6. Step 6: Final answer
    x = 8,413.71

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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.