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Finding the Fourth Proportional to 9,964.31, 13,757.36 and 6,193.10

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Solution

The fourth proportional to 9,964.31, 13,757.36 and 6,193.10 is: 8,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.31 : 13,757.36 = 6,193.10 : x
  2. Step 2: Convert to fraction form
    9,964.31/13,757.36 = 6,193.10/x
  3. Step 3: Cross multiply
    9,964.31x = 13,757.36 × 6,193.10
  4. Step 4: Simplify right side
    9,964.31x = 85,200,606.46
  5. Step 5: Solve for x
    x = 85,200,606.46/9,964.31
  6. Step 6: Final answer
    x = 8,550.58

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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.