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Finding the Fourth Proportional to 6,551.82, 9,818.19 and 4,047.66

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Solution

The fourth proportional to 6,551.82, 9,818.19 and 4,047.66 is: 6,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.82 : 9,818.19 = 4,047.66 : x
  2. Step 2: Convert to fraction form
    6,551.82/9,818.19 = 4,047.66/x
  3. Step 3: Cross multiply
    6,551.82x = 9,818.19 × 4,047.66
  4. Step 4: Simplify right side
    6,551.82x = 39,740,694.94
  5. Step 5: Solve for x
    x = 39,740,694.94/6,551.82
  6. Step 6: Final answer
    x = 6,065.60

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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.