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Finding the Fourth Proportional to 8,361.80, 11,538.82 and 4,636.04

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Solution

The fourth proportional to 8,361.80, 11,538.82 and 4,636.04 is: 6,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.80 : 11,538.82 = 4,636.04 : x
  2. Step 2: Convert to fraction form
    8,361.80/11,538.82 = 4,636.04/x
  3. Step 3: Cross multiply
    8,361.80x = 11,538.82 × 4,636.04
  4. Step 4: Simplify right side
    8,361.80x = 53,494,431.07
  5. Step 5: Solve for x
    x = 53,494,431.07/8,361.80
  6. Step 6: Final answer
    x = 6,397.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.