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Finding the Fourth Proportional to 6,457.66, 9,692.56 and 3,173.11

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Solution

The fourth proportional to 6,457.66, 9,692.56 and 3,173.11 is: 4,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.66 : 9,692.56 = 3,173.11 : x
  2. Step 2: Convert to fraction form
    6,457.66/9,692.56 = 3,173.11/x
  3. Step 3: Cross multiply
    6,457.66x = 9,692.56 × 3,173.11
  4. Step 4: Simplify right side
    6,457.66x = 30,755,575.36
  5. Step 5: Solve for x
    x = 30,755,575.36/6,457.66
  6. Step 6: Final answer
    x = 4,762.65

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1.5x scale

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.