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Finding the Fourth Proportional to 9,516.56, 14,194.36 and 8,967.75

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Solution

The fourth proportional to 9,516.56, 14,194.36 and 8,967.75 is: 13,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.56 : 14,194.36 = 8,967.75 : x
  2. Step 2: Convert to fraction form
    9,516.56/14,194.36 = 8,967.75/x
  3. Step 3: Cross multiply
    9,516.56x = 14,194.36 × 8,967.75
  4. Step 4: Simplify right side
    9,516.56x = 127,291,455.09
  5. Step 5: Solve for x
    x = 127,291,455.09/9,516.56
  6. Step 6: Final answer
    x = 13,375.79

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Double scale
Find fourth proportional to 9,517.56, 14,195.86 and 8,968.75
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.