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Finding the Fourth Proportional to 6,597.70, 9,105.86 and 3,765.07

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Solution

The fourth proportional to 6,597.70, 9,105.86 and 3,765.07 is: 5,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.70 : 9,105.86 = 3,765.07 : x
  2. Step 2: Convert to fraction form
    6,597.70/9,105.86 = 3,765.07/x
  3. Step 3: Cross multiply
    6,597.70x = 9,105.86 × 3,765.07
  4. Step 4: Simplify right side
    6,597.70x = 34,284,200.31
  5. Step 5: Solve for x
    x = 34,284,200.31/6,597.70
  6. Step 6: Final answer
    x = 5,196.39

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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.