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Finding the Fourth Proportional to 7,361.63, 11,042.80 and 2,431.16

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Solution

The fourth proportional to 7,361.63, 11,042.80 and 2,431.16 is: 3,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.63 : 11,042.80 = 2,431.16 : x
  2. Step 2: Convert to fraction form
    7,361.63/11,042.80 = 2,431.16/x
  3. Step 3: Cross multiply
    7,361.63x = 11,042.80 × 2,431.16
  4. Step 4: Simplify right side
    7,361.63x = 26,846,813.65
  5. Step 5: Solve for x
    x = 26,846,813.65/7,361.63
  6. Step 6: Final answer
    x = 3,646.86

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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.