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Finding the Fourth Proportional to 9,744.20, 14,617.20 and 3,899.60

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Solution

The fourth proportional to 9,744.20, 14,617.20 and 3,899.60 is: 5,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.20 : 14,617.20 = 3,899.60 : x
  2. Step 2: Convert to fraction form
    9,744.20/14,617.20 = 3,899.60/x
  3. Step 3: Cross multiply
    9,744.20x = 14,617.20 × 3,899.60
  4. Step 4: Simplify right side
    9,744.20x = 57,001,233.12
  5. Step 5: Solve for x
    x = 57,001,233.12/9,744.20
  6. Step 6: Final answer
    x = 5,849.76

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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.