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Finding the Fourth Proportional to 11,588.81, 17,365.32 and 7,825.84

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Solution

The fourth proportional to 11,588.81, 17,365.32 and 7,825.84 is: 11,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.81 : 17,365.32 = 7,825.84 : x
  2. Step 2: Convert to fraction form
    11,588.81/17,365.32 = 7,825.84/x
  3. Step 3: Cross multiply
    11,588.81x = 17,365.32 × 7,825.84
  4. Step 4: Simplify right side
    11,588.81x = 135,898,215.87
  5. Step 5: Solve for x
    x = 135,898,215.87/11,588.81
  6. Step 6: Final answer
    x = 11,726.68

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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.