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Finding the Fourth Proportional to 6,106.76, 9,161.86 and 1,724.24

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Solution

The fourth proportional to 6,106.76, 9,161.86 and 1,724.24 is: 2,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.76 : 9,161.86 = 1,724.24 : x
  2. Step 2: Convert to fraction form
    6,106.76/9,161.86 = 1,724.24/x
  3. Step 3: Cross multiply
    6,106.76x = 9,161.86 × 1,724.24
  4. Step 4: Simplify right side
    6,106.76x = 15,797,245.49
  5. Step 5: Solve for x
    x = 15,797,245.49/6,106.76
  6. Step 6: Final answer
    x = 2,586.85

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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.