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Finding the Fourth Proportional to 8,304.03, 11,443.80 and 5,942.07

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Solution

The fourth proportional to 8,304.03, 11,443.80 and 5,942.07 is: 8,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.03 : 11,443.80 = 5,942.07 : x
  2. Step 2: Convert to fraction form
    8,304.03/11,443.80 = 5,942.07/x
  3. Step 3: Cross multiply
    8,304.03x = 11,443.80 × 5,942.07
  4. Step 4: Simplify right side
    8,304.03x = 67,999,860.67
  5. Step 5: Solve for x
    x = 67,999,860.67/8,304.03
  6. Step 6: Final answer
    x = 8,188.78

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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.