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Finding the Fourth Proportional to 6,566.88, 9,851.94 and 2,184.37

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Solution

The fourth proportional to 6,566.88, 9,851.94 and 2,184.37 is: 3,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.88 : 9,851.94 = 2,184.37 : x
  2. Step 2: Convert to fraction form
    6,566.88/9,851.94 = 2,184.37/x
  3. Step 3: Cross multiply
    6,566.88x = 9,851.94 × 2,184.37
  4. Step 4: Simplify right side
    6,566.88x = 21,520,286.30
  5. Step 5: Solve for x
    x = 21,520,286.30/6,566.88
  6. Step 6: Final answer
    x = 3,277.10

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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.