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Finding the Fourth Proportional to 6,500.88, 8,971.26 and 3,668.94

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Solution

The fourth proportional to 6,500.88, 8,971.26 and 3,668.94 is: 5,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.88 : 8,971.26 = 3,668.94 : x
  2. Step 2: Convert to fraction form
    6,500.88/8,971.26 = 3,668.94/x
  3. Step 3: Cross multiply
    6,500.88x = 8,971.26 × 3,668.94
  4. Step 4: Simplify right side
    6,500.88x = 32,915,014.66
  5. Step 5: Solve for x
    x = 32,915,014.66/6,500.88
  6. Step 6: Final answer
    x = 5,063.16

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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.