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Finding the Fourth Proportional to 7,791.17, 11,678.09 and 5,936.16

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Solution

The fourth proportional to 7,791.17, 11,678.09 and 5,936.16 is: 8,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.17 : 11,678.09 = 5,936.16 : x
  2. Step 2: Convert to fraction form
    7,791.17/11,678.09 = 5,936.16/x
  3. Step 3: Cross multiply
    7,791.17x = 11,678.09 × 5,936.16
  4. Step 4: Simplify right side
    7,791.17x = 69,323,058.24
  5. Step 5: Solve for x
    x = 69,323,058.24/7,791.17
  6. Step 6: Final answer
    x = 8,897.65

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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.