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Finding the Fourth Proportional to 6,341.09, 9,511.02 and 3,749.49

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Solution

The fourth proportional to 6,341.09, 9,511.02 and 3,749.49 is: 5,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.09 : 9,511.02 = 3,749.49 : x
  2. Step 2: Convert to fraction form
    6,341.09/9,511.02 = 3,749.49/x
  3. Step 3: Cross multiply
    6,341.09x = 9,511.02 × 3,749.49
  4. Step 4: Simplify right side
    6,341.09x = 35,661,474.38
  5. Step 5: Solve for x
    x = 35,661,474.38/6,341.09
  6. Step 6: Final answer
    x = 5,623.88

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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.