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Finding the Fourth Proportional to 6,371.07, 9,567.39 and 4,153.68

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Solution

The fourth proportional to 6,371.07, 9,567.39 and 4,153.68 is: 6,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.07 : 9,567.39 = 4,153.68 : x
  2. Step 2: Convert to fraction form
    6,371.07/9,567.39 = 4,153.68/x
  3. Step 3: Cross multiply
    6,371.07x = 9,567.39 × 4,153.68
  4. Step 4: Simplify right side
    6,371.07x = 39,739,876.50
  5. Step 5: Solve for x
    x = 39,739,876.50/6,371.07
  6. Step 6: Final answer
    x = 6,237.55

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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.