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Finding the Fourth Proportional to 6,304.46, 9,451.98 and 5,907.69

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Solution

The fourth proportional to 6,304.46, 9,451.98 and 5,907.69 is: 8,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.46 : 9,451.98 = 5,907.69 : x
  2. Step 2: Convert to fraction form
    6,304.46/9,451.98 = 5,907.69/x
  3. Step 3: Cross multiply
    6,304.46x = 9,451.98 × 5,907.69
  4. Step 4: Simplify right side
    6,304.46x = 55,839,367.73
  5. Step 5: Solve for x
    x = 55,839,367.73/6,304.46
  6. Step 6: Final answer
    x = 8,857.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.