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Finding the Fourth Proportional to 11,588.82, 15,984.07 and 7,608.48

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Solution

The fourth proportional to 11,588.82, 15,984.07 and 7,608.48 is: 10,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.82 : 15,984.07 = 7,608.48 : x
  2. Step 2: Convert to fraction form
    11,588.82/15,984.07 = 7,608.48/x
  3. Step 3: Cross multiply
    11,588.82x = 15,984.07 × 7,608.48
  4. Step 4: Simplify right side
    11,588.82x = 121,614,476.91
  5. Step 5: Solve for x
    x = 121,614,476.91/11,588.82
  6. Step 6: Final answer
    x = 10,494.12

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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.