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Finding the Fourth Proportional to 6,567.70, 9,855.33 and 3,645.76

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Solution

The fourth proportional to 6,567.70, 9,855.33 and 3,645.76 is: 5,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.70 : 9,855.33 = 3,645.76 : x
  2. Step 2: Convert to fraction form
    6,567.70/9,855.33 = 3,645.76/x
  3. Step 3: Cross multiply
    6,567.70x = 9,855.33 × 3,645.76
  4. Step 4: Simplify right side
    6,567.70x = 35,930,167.90
  5. Step 5: Solve for x
    x = 35,930,167.90/6,567.70
  6. Step 6: Final answer
    x = 5,470.74

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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.