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Finding the Fourth Proportional to 10,791.82, 14,893 and 6,076.28

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Solution

The fourth proportional to 10,791.82, 14,893 and 6,076.28 is: 8,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.82 : 14,893 = 6,076.28 : x
  2. Step 2: Convert to fraction form
    10,791.82/14,893 = 6,076.28/x
  3. Step 3: Cross multiply
    10,791.82x = 14,893 × 6,076.28
  4. Step 4: Simplify right side
    10,791.82x = 90,494,038.04
  5. Step 5: Solve for x
    x = 90,494,038.04/10,791.82
  6. Step 6: Final answer
    x = 8,385.43

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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.