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Finding the Fourth Proportional to 9,500.22, 13,114.98 and 5,965.38

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Solution

The fourth proportional to 9,500.22, 13,114.98 and 5,965.38 is: 8,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.22 : 13,114.98 = 5,965.38 : x
  2. Step 2: Convert to fraction form
    9,500.22/13,114.98 = 5,965.38/x
  3. Step 3: Cross multiply
    9,500.22x = 13,114.98 × 5,965.38
  4. Step 4: Simplify right side
    9,500.22x = 78,235,839.39
  5. Step 5: Solve for x
    x = 78,235,839.39/9,500.22
  6. Step 6: Final answer
    x = 8,235.16

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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.