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Finding the Fourth Proportional to 7,052.28, 9,744.24 and 6,166.68

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Solution

The fourth proportional to 7,052.28, 9,744.24 and 6,166.68 is: 8,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.28 : 9,744.24 = 6,166.68 : x
  2. Step 2: Convert to fraction form
    7,052.28/9,744.24 = 6,166.68/x
  3. Step 3: Cross multiply
    7,052.28x = 9,744.24 × 6,166.68
  4. Step 4: Simplify right side
    7,052.28x = 60,089,609.92
  5. Step 5: Solve for x
    x = 60,089,609.92/7,052.28
  6. Step 6: Final answer
    x = 8,520.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.