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Finding the Fourth Proportional to 6,894.21, 10,340.66 and 2,217.48

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Solution

The fourth proportional to 6,894.21, 10,340.66 and 2,217.48 is: 3,326.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.21 : 10,340.66 = 2,217.48 : x
  2. Step 2: Convert to fraction form
    6,894.21/10,340.66 = 2,217.48/x
  3. Step 3: Cross multiply
    6,894.21x = 10,340.66 × 2,217.48
  4. Step 4: Simplify right side
    6,894.21x = 22,930,173.50
  5. Step 5: Solve for x
    x = 22,930,173.50/6,894.21
  6. Step 6: Final answer
    x = 3,326.00

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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.