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Finding the Fourth Proportional to 6,907.56, 9,534.96 and 4,674.39

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Solution

The fourth proportional to 6,907.56, 9,534.96 and 4,674.39 is: 6,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.56 : 9,534.96 = 4,674.39 : x
  2. Step 2: Convert to fraction form
    6,907.56/9,534.96 = 4,674.39/x
  3. Step 3: Cross multiply
    6,907.56x = 9,534.96 × 4,674.39
  4. Step 4: Simplify right side
    6,907.56x = 44,570,121.67
  5. Step 5: Solve for x
    x = 44,570,121.67/6,907.56
  6. Step 6: Final answer
    x = 6,452.37

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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.