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Finding the Fourth Proportional to 27,675.86, 41,513.94 and 6,899.36

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Solution

The fourth proportional to 27,675.86, 41,513.94 and 6,899.36 is: 10,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.86 : 41,513.94 = 6,899.36 : x
  2. Step 2: Convert to fraction form
    27,675.86/41,513.94 = 6,899.36/x
  3. Step 3: Cross multiply
    27,675.86x = 41,513.94 × 6,899.36
  4. Step 4: Simplify right side
    27,675.86x = 286,419,409.51
  5. Step 5: Solve for x
    x = 286,419,409.51/27,675.86
  6. Step 6: Final answer
    x = 10,349.07

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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.