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Finding the Fourth Proportional to 7,361.76, 11,031.89 and 3,414.23

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Solution

The fourth proportional to 7,361.76, 11,031.89 and 3,414.23 is: 5,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.76 : 11,031.89 = 3,414.23 : x
  2. Step 2: Convert to fraction form
    7,361.76/11,031.89 = 3,414.23/x
  3. Step 3: Cross multiply
    7,361.76x = 11,031.89 × 3,414.23
  4. Step 4: Simplify right side
    7,361.76x = 37,665,337.56
  5. Step 5: Solve for x
    x = 37,665,337.56/7,361.76
  6. Step 6: Final answer
    x = 5,116.35

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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.