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Finding the Fourth Proportional to 6,741.92, 10,098.48 and 6,286.24

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Solution

The fourth proportional to 6,741.92, 10,098.48 and 6,286.24 is: 9,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.92 : 10,098.48 = 6,286.24 : x
  2. Step 2: Convert to fraction form
    6,741.92/10,098.48 = 6,286.24/x
  3. Step 3: Cross multiply
    6,741.92x = 10,098.48 × 6,286.24
  4. Step 4: Simplify right side
    6,741.92x = 63,481,468.92
  5. Step 5: Solve for x
    x = 63,481,468.92/6,741.92
  6. Step 6: Final answer
    x = 9,415.93

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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.