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Finding the Fourth Proportional to 9,141.01, 13,713.43 and 5,194.09

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Solution

The fourth proportional to 9,141.01, 13,713.43 and 5,194.09 is: 7,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.01 : 13,713.43 = 5,194.09 : x
  2. Step 2: Convert to fraction form
    9,141.01/13,713.43 = 5,194.09/x
  3. Step 3: Cross multiply
    9,141.01x = 13,713.43 × 5,194.09
  4. Step 4: Simplify right side
    9,141.01x = 71,228,742.36
  5. Step 5: Solve for x
    x = 71,228,742.36/9,141.01
  6. Step 6: Final answer
    x = 7,792.22

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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.