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Finding the Fourth Proportional to 6,917.97, 9,546.89 and 3,774.16

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Solution

The fourth proportional to 6,917.97, 9,546.89 and 3,774.16 is: 5,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.97 : 9,546.89 = 3,774.16 : x
  2. Step 2: Convert to fraction form
    6,917.97/9,546.89 = 3,774.16/x
  3. Step 3: Cross multiply
    6,917.97x = 9,546.89 × 3,774.16
  4. Step 4: Simplify right side
    6,917.97x = 36,031,490.36
  5. Step 5: Solve for x
    x = 36,031,490.36/6,917.97
  6. Step 6: Final answer
    x = 5,208.39

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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.