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Finding the Fourth Proportional to 6,366.65, 9,548.03 and 2,205.69

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Solution

The fourth proportional to 6,366.65, 9,548.03 and 2,205.69 is: 3,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.65 : 9,548.03 = 2,205.69 : x
  2. Step 2: Convert to fraction form
    6,366.65/9,548.03 = 2,205.69/x
  3. Step 3: Cross multiply
    6,366.65x = 9,548.03 × 2,205.69
  4. Step 4: Simplify right side
    6,366.65x = 21,059,979.38
  5. Step 5: Solve for x
    x = 21,059,979.38/6,366.65
  6. Step 6: Final answer
    x = 3,307.86

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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.