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Finding the Fourth Proportional to 9,963, 13,748.94 and 6,193.26

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Solution

The fourth proportional to 9,963, 13,748.94 and 6,193.26 is: 8,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963 : 13,748.94 = 6,193.26 : x
  2. Step 2: Convert to fraction form
    9,963/13,748.94 = 6,193.26/x
  3. Step 3: Cross multiply
    9,963x = 13,748.94 × 6,193.26
  4. Step 4: Simplify right side
    9,963x = 85,150,760.14
  5. Step 5: Solve for x
    x = 85,150,760.14/9,963
  6. Step 6: Final answer
    x = 8,546.70

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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.