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Finding the Fourth Proportional to 7,131.97, 10,698 and 4,668.86

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Solution

The fourth proportional to 7,131.97, 10,698 and 4,668.86 is: 7,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.97 : 10,698 = 4,668.86 : x
  2. Step 2: Convert to fraction form
    7,131.97/10,698 = 4,668.86/x
  3. Step 3: Cross multiply
    7,131.97x = 10,698 × 4,668.86
  4. Step 4: Simplify right side
    7,131.97x = 49,947,464.28
  5. Step 5: Solve for x
    x = 49,947,464.28/7,131.97
  6. Step 6: Final answer
    x = 7,003.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.