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Finding the Fourth Proportional to 6,775.24, 10,166.34 and 5,131.24

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Solution

The fourth proportional to 6,775.24, 10,166.34 and 5,131.24 is: 7,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.24 : 10,166.34 = 5,131.24 : x
  2. Step 2: Convert to fraction form
    6,775.24/10,166.34 = 5,131.24/x
  3. Step 3: Cross multiply
    6,775.24x = 10,166.34 × 5,131.24
  4. Step 4: Simplify right side
    6,775.24x = 52,165,930.46
  5. Step 5: Solve for x
    x = 52,165,930.46/6,775.24
  6. Step 6: Final answer
    x = 7,699.50

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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.