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Finding the Fourth Proportional to 6,193.71, 8,546.74 and 3,675.38

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Solution

The fourth proportional to 6,193.71, 8,546.74 and 3,675.38 is: 5,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.71 : 8,546.74 = 3,675.38 : x
  2. Step 2: Convert to fraction form
    6,193.71/8,546.74 = 3,675.38/x
  3. Step 3: Cross multiply
    6,193.71x = 8,546.74 × 3,675.38
  4. Step 4: Simplify right side
    6,193.71x = 31,412,517.26
  5. Step 5: Solve for x
    x = 31,412,517.26/6,193.71
  6. Step 6: Final answer
    x = 5,071.68

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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.