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Finding the Fourth Proportional to 11,662.48, 16,087.08 and 7,187.92

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Solution

The fourth proportional to 11,662.48, 16,087.08 and 7,187.92 is: 9,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.48 : 16,087.08 = 7,187.92 : x
  2. Step 2: Convert to fraction form
    11,662.48/16,087.08 = 7,187.92/x
  3. Step 3: Cross multiply
    11,662.48x = 16,087.08 × 7,187.92
  4. Step 4: Simplify right side
    11,662.48x = 115,632,644.07
  5. Step 5: Solve for x
    x = 115,632,644.07/11,662.48
  6. Step 6: Final answer
    x = 9,914.93

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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.