Home / 8,077-11,146.26-4,766.92

Finding the Fourth Proportional to 8,077, 11,146.26 and 4,766.92

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Solution

The fourth proportional to 8,077, 11,146.26 and 4,766.92 is: 6,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077 : 11,146.26 = 4,766.92 : x
  2. Step 2: Convert to fraction form
    8,077/11,146.26 = 4,766.92/x
  3. Step 3: Cross multiply
    8,077x = 11,146.26 × 4,766.92
  4. Step 4: Simplify right side
    8,077x = 53,133,329.72
  5. Step 5: Solve for x
    x = 53,133,329.72/8,077
  6. Step 6: Final answer
    x = 6,578.35

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1.5x scale

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.