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Finding the Fourth Proportional to 6,113.74, 9,161 and 4,462.68

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Solution

The fourth proportional to 6,113.74, 9,161 and 4,462.68 is: 6,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.74 : 9,161 = 4,462.68 : x
  2. Step 2: Convert to fraction form
    6,113.74/9,161 = 4,462.68/x
  3. Step 3: Cross multiply
    6,113.74x = 9,161 × 4,462.68
  4. Step 4: Simplify right side
    6,113.74x = 40,882,611.48
  5. Step 5: Solve for x
    x = 40,882,611.48/6,113.74
  6. Step 6: Final answer
    x = 6,687.01

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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.