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Finding the Fourth Proportional to 9,143.49, 13,696.09 and 5,839.77

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Solution

The fourth proportional to 9,143.49, 13,696.09 and 5,839.77 is: 8,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.49 : 13,696.09 = 5,839.77 : x
  2. Step 2: Convert to fraction form
    9,143.49/13,696.09 = 5,839.77/x
  3. Step 3: Cross multiply
    9,143.49x = 13,696.09 × 5,839.77
  4. Step 4: Simplify right side
    9,143.49x = 79,982,015.50
  5. Step 5: Solve for x
    x = 79,982,015.50/9,143.49
  6. Step 6: Final answer
    x = 8,747.43

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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.