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Finding the Fourth Proportional to 6,267.50, 9,405.77 and 5,049.62

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Solution

The fourth proportional to 6,267.50, 9,405.77 and 5,049.62 is: 7,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.50 : 9,405.77 = 5,049.62 : x
  2. Step 2: Convert to fraction form
    6,267.50/9,405.77 = 5,049.62/x
  3. Step 3: Cross multiply
    6,267.50x = 9,405.77 × 5,049.62
  4. Step 4: Simplify right side
    6,267.50x = 47,495,564.31
  5. Step 5: Solve for x
    x = 47,495,564.31/6,267.50
  6. Step 6: Final answer
    x = 7,578.07

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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.