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Finding the Fourth Proportional to 10,107.11, 13,946.54 and 5,630.54

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Solution

The fourth proportional to 10,107.11, 13,946.54 and 5,630.54 is: 7,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.11 : 13,946.54 = 5,630.54 : x
  2. Step 2: Convert to fraction form
    10,107.11/13,946.54 = 5,630.54/x
  3. Step 3: Cross multiply
    10,107.11x = 13,946.54 × 5,630.54
  4. Step 4: Simplify right side
    10,107.11x = 78,526,453.45
  5. Step 5: Solve for x
    x = 78,526,453.45/10,107.11
  6. Step 6: Final answer
    x = 7,769.43

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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.