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Finding the Fourth Proportional to 11,571.09, 15,968.39 and 7,097.30

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Solution

The fourth proportional to 11,571.09, 15,968.39 and 7,097.30 is: 9,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.09 : 15,968.39 = 7,097.30 : x
  2. Step 2: Convert to fraction form
    11,571.09/15,968.39 = 7,097.30/x
  3. Step 3: Cross multiply
    11,571.09x = 15,968.39 × 7,097.30
  4. Step 4: Simplify right side
    11,571.09x = 113,332,528.64
  5. Step 5: Solve for x
    x = 113,332,528.64/11,571.09
  6. Step 6: Final answer
    x = 9,794.46

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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.