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Finding the Fourth Proportional to 6,907.60, 9,532 and 3,923.48

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Solution

The fourth proportional to 6,907.60, 9,532 and 3,923.48 is: 5,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.60 : 9,532 = 3,923.48 : x
  2. Step 2: Convert to fraction form
    6,907.60/9,532 = 3,923.48/x
  3. Step 3: Cross multiply
    6,907.60x = 9,532 × 3,923.48
  4. Step 4: Simplify right side
    6,907.60x = 37,398,611.36
  5. Step 5: Solve for x
    x = 37,398,611.36/6,907.60
  6. Step 6: Final answer
    x = 5,414.13

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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.