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Finding the Fourth Proportional to 6,811.66, 10,203.66 and 6,244.66

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Solution

The fourth proportional to 6,811.66, 10,203.66 and 6,244.66 is: 9,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.66 : 10,203.66 = 6,244.66 : x
  2. Step 2: Convert to fraction form
    6,811.66/10,203.66 = 6,244.66/x
  3. Step 3: Cross multiply
    6,811.66x = 10,203.66 × 6,244.66
  4. Step 4: Simplify right side
    6,811.66x = 63,718,387.46
  5. Step 5: Solve for x
    x = 63,718,387.46/6,811.66
  6. Step 6: Final answer
    x = 9,354.31

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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.