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Finding the Fourth Proportional to 6,372.50, 9,561.18 and 2,477.21

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Solution

The fourth proportional to 6,372.50, 9,561.18 and 2,477.21 is: 3,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372.50 : 9,561.18 = 2,477.21 : x
  2. Step 2: Convert to fraction form
    6,372.50/9,561.18 = 2,477.21/x
  3. Step 3: Cross multiply
    6,372.50x = 9,561.18 × 2,477.21
  4. Step 4: Simplify right side
    6,372.50x = 23,685,050.71
  5. Step 5: Solve for x
    x = 23,685,050.71/6,372.50
  6. Step 6: Final answer
    x = 3,716.76

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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.