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Finding the Fourth Proportional to 6,907.45, 9,532.29 and 3,763.64

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Solution

The fourth proportional to 6,907.45, 9,532.29 and 3,763.64 is: 5,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.45 : 9,532.29 = 3,763.64 : x
  2. Step 2: Convert to fraction form
    6,907.45/9,532.29 = 3,763.64/x
  3. Step 3: Cross multiply
    6,907.45x = 9,532.29 × 3,763.64
  4. Step 4: Simplify right side
    6,907.45x = 35,876,107.94
  5. Step 5: Solve for x
    x = 35,876,107.94/6,907.45
  6. Step 6: Final answer
    x = 5,193.83

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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.