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Finding the Fourth Proportional to 6,907.88, 9,532.86 and 3,764.06

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Solution

The fourth proportional to 6,907.88, 9,532.86 and 3,764.06 is: 5,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.88 : 9,532.86 = 3,764.06 : x
  2. Step 2: Convert to fraction form
    6,907.88/9,532.86 = 3,764.06/x
  3. Step 3: Cross multiply
    6,907.88x = 9,532.86 × 3,764.06
  4. Step 4: Simplify right side
    6,907.88x = 35,882,257.01
  5. Step 5: Solve for x
    x = 35,882,257.01/6,907.88
  6. Step 6: Final answer
    x = 5,194.39

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1.5x scale

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.