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Finding the Fourth Proportional to 6,770.76, 9,340.08 and 5,513.24

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Solution

The fourth proportional to 6,770.76, 9,340.08 and 5,513.24 is: 7,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.76 : 9,340.08 = 5,513.24 : x
  2. Step 2: Convert to fraction form
    6,770.76/9,340.08 = 5,513.24/x
  3. Step 3: Cross multiply
    6,770.76x = 9,340.08 × 5,513.24
  4. Step 4: Simplify right side
    6,770.76x = 51,494,102.66
  5. Step 5: Solve for x
    x = 51,494,102.66/6,770.76
  6. Step 6: Final answer
    x = 7,605.37

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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.