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Finding the Fourth Proportional to 10,361.83, 15,549.23 and 4,205.83

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Solution

The fourth proportional to 10,361.83, 15,549.23 and 4,205.83 is: 6,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.83 : 15,549.23 = 4,205.83 : x
  2. Step 2: Convert to fraction form
    10,361.83/15,549.23 = 4,205.83/x
  3. Step 3: Cross multiply
    10,361.83x = 15,549.23 × 4,205.83
  4. Step 4: Simplify right side
    10,361.83x = 65,397,418.01
  5. Step 5: Solve for x
    x = 65,397,418.01/10,361.83
  6. Step 6: Final answer
    x = 6,311.38

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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.