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Finding the Fourth Proportional to 27,588.23, 41,388.84 and 7,867.07

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Solution

The fourth proportional to 27,588.23, 41,388.84 and 7,867.07 is: 11,802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588.23 : 41,388.84 = 7,867.07 : x
  2. Step 2: Convert to fraction form
    27,588.23/41,388.84 = 7,867.07/x
  3. Step 3: Cross multiply
    27,588.23x = 41,388.84 × 7,867.07
  4. Step 4: Simplify right side
    27,588.23x = 325,608,901.50
  5. Step 5: Solve for x
    x = 325,608,901.50/27,588.23
  6. Step 6: Final answer
    x = 11,802.46

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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.