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Finding the Fourth Proportional to 11,736.61, 17,593.07 and 7,357.14

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Solution

The fourth proportional to 11,736.61, 17,593.07 and 7,357.14 is: 11,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.61 : 17,593.07 = 7,357.14 : x
  2. Step 2: Convert to fraction form
    11,736.61/17,593.07 = 7,357.14/x
  3. Step 3: Cross multiply
    11,736.61x = 17,593.07 × 7,357.14
  4. Step 4: Simplify right side
    11,736.61x = 129,434,642.23
  5. Step 5: Solve for x
    x = 129,434,642.23/11,736.61
  6. Step 6: Final answer
    x = 11,028.28

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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.