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Finding the Fourth Proportional to 6,694.62, 10,041.89 and 5,235

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Solution

The fourth proportional to 6,694.62, 10,041.89 and 5,235 is: 7,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.62 : 10,041.89 = 5,235 : x
  2. Step 2: Convert to fraction form
    6,694.62/10,041.89 = 5,235/x
  3. Step 3: Cross multiply
    6,694.62x = 10,041.89 × 5,235
  4. Step 4: Simplify right side
    6,694.62x = 52,569,267.98
  5. Step 5: Solve for x
    x = 52,569,267.98/6,694.62
  6. Step 6: Final answer
    x = 7,852.46

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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.