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Finding the Fourth Proportional to 6,901.31, 9,523.53 and 3,917.09

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Solution

The fourth proportional to 6,901.31, 9,523.53 and 3,917.09 is: 5,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.31 : 9,523.53 = 3,917.09 : x
  2. Step 2: Convert to fraction form
    6,901.31/9,523.53 = 3,917.09/x
  3. Step 3: Cross multiply
    6,901.31x = 9,523.53 × 3,917.09
  4. Step 4: Simplify right side
    6,901.31x = 37,304,524.13
  5. Step 5: Solve for x
    x = 37,304,524.13/6,901.31
  6. Step 6: Final answer
    x = 5,405.43

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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.