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Finding the Fourth Proportional to 10,059.83, 13,880.97 and 5,583.49

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Solution

The fourth proportional to 10,059.83, 13,880.97 and 5,583.49 is: 7,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.83 : 13,880.97 = 5,583.49 : x
  2. Step 2: Convert to fraction form
    10,059.83/13,880.97 = 5,583.49/x
  3. Step 3: Cross multiply
    10,059.83x = 13,880.97 × 5,583.49
  4. Step 4: Simplify right side
    10,059.83x = 77,504,257.19
  5. Step 5: Solve for x
    x = 77,504,257.19/10,059.83
  6. Step 6: Final answer
    x = 7,704.33

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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.