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Finding the Fourth Proportional to 9,093.40, 13,640.10 and 7,941.40

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Solution

The fourth proportional to 9,093.40, 13,640.10 and 7,941.40 is: 11,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.40 : 13,640.10 = 7,941.40 : x
  2. Step 2: Convert to fraction form
    9,093.40/13,640.10 = 7,941.40/x
  3. Step 3: Cross multiply
    9,093.40x = 13,640.10 × 7,941.40
  4. Step 4: Simplify right side
    9,093.40x = 108,321,490.14
  5. Step 5: Solve for x
    x = 108,321,490.14/9,093.40
  6. Step 6: Final answer
    x = 11,912.10

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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.