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Finding the Fourth Proportional to 9,243.84, 12,755.36 and 5,839.60

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Solution

The fourth proportional to 9,243.84, 12,755.36 and 5,839.60 is: 8,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.84 : 12,755.36 = 5,839.60 : x
  2. Step 2: Convert to fraction form
    9,243.84/12,755.36 = 5,839.60/x
  3. Step 3: Cross multiply
    9,243.84x = 12,755.36 × 5,839.60
  4. Step 4: Simplify right side
    9,243.84x = 74,486,200.26
  5. Step 5: Solve for x
    x = 74,486,200.26/9,243.84
  6. Step 6: Final answer
    x = 8,057.93

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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.