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Finding the Fourth Proportional to 6,161.66, 9,242.16 and 5,476.19

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Solution

The fourth proportional to 6,161.66, 9,242.16 and 5,476.19 is: 8,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.66 : 9,242.16 = 5,476.19 : x
  2. Step 2: Convert to fraction form
    6,161.66/9,242.16 = 5,476.19/x
  3. Step 3: Cross multiply
    6,161.66x = 9,242.16 × 5,476.19
  4. Step 4: Simplify right side
    6,161.66x = 50,611,777.96
  5. Step 5: Solve for x
    x = 50,611,777.96/6,161.66
  6. Step 6: Final answer
    x = 8,213.99

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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.