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Finding the Fourth Proportional to 6,105.76, 9,157.53 and 1,722.18

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Solution

The fourth proportional to 6,105.76, 9,157.53 and 1,722.18 is: 2,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.76 : 9,157.53 = 1,722.18 : x
  2. Step 2: Convert to fraction form
    6,105.76/9,157.53 = 1,722.18/x
  3. Step 3: Cross multiply
    6,105.76x = 9,157.53 × 1,722.18
  4. Step 4: Simplify right side
    6,105.76x = 15,770,915.02
  5. Step 5: Solve for x
    x = 15,770,915.02/6,105.76
  6. Step 6: Final answer
    x = 2,582.96

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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.