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Finding the Fourth Proportional to 6,713.66, 10,087.50 and 4,249.64

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Solution

The fourth proportional to 6,713.66, 10,087.50 and 4,249.64 is: 6,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.66 : 10,087.50 = 4,249.64 : x
  2. Step 2: Convert to fraction form
    6,713.66/10,087.50 = 4,249.64/x
  3. Step 3: Cross multiply
    6,713.66x = 10,087.50 × 4,249.64
  4. Step 4: Simplify right side
    6,713.66x = 42,868,243.50
  5. Step 5: Solve for x
    x = 42,868,243.50/6,713.66
  6. Step 6: Final answer
    x = 6,385.23

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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.