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Finding the Fourth Proportional to 6,295.14, 9,436.14 and 3,517.74

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Solution

The fourth proportional to 6,295.14, 9,436.14 and 3,517.74 is: 5,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.14 : 9,436.14 = 3,517.74 : x
  2. Step 2: Convert to fraction form
    6,295.14/9,436.14 = 3,517.74/x
  3. Step 3: Cross multiply
    6,295.14x = 9,436.14 × 3,517.74
  4. Step 4: Simplify right side
    6,295.14x = 33,193,887.12
  5. Step 5: Solve for x
    x = 33,193,887.12/6,295.14
  6. Step 6: Final answer
    x = 5,272.94

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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.