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Finding the Fourth Proportional to 6,457.41, 9,692.18 and 3,172.86

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Solution

The fourth proportional to 6,457.41, 9,692.18 and 3,172.86 is: 4,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.41 : 9,692.18 = 3,172.86 : x
  2. Step 2: Convert to fraction form
    6,457.41/9,692.18 = 3,172.86/x
  3. Step 3: Cross multiply
    6,457.41x = 9,692.18 × 3,172.86
  4. Step 4: Simplify right side
    6,457.41x = 30,751,962.40
  5. Step 5: Solve for x
    x = 30,751,962.40/6,457.41
  6. Step 6: Final answer
    x = 4,762.27

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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.