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Finding the Fourth Proportional to 9,311.98, 13,973 and 7,236.16

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Solution

The fourth proportional to 9,311.98, 13,973 and 7,236.16 is: 10,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.98 : 13,973 = 7,236.16 : x
  2. Step 2: Convert to fraction form
    9,311.98/13,973 = 7,236.16/x
  3. Step 3: Cross multiply
    9,311.98x = 13,973 × 7,236.16
  4. Step 4: Simplify right side
    9,311.98x = 101,110,863.68
  5. Step 5: Solve for x
    x = 101,110,863.68/9,311.98
  6. Step 6: Final answer
    x = 10,858.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.