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Finding the Fourth Proportional to 6,141.88, 9,194.46 and 5,321.08

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Solution

The fourth proportional to 6,141.88, 9,194.46 and 5,321.08 is: 7,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.88 : 9,194.46 = 5,321.08 : x
  2. Step 2: Convert to fraction form
    6,141.88/9,194.46 = 5,321.08/x
  3. Step 3: Cross multiply
    6,141.88x = 9,194.46 × 5,321.08
  4. Step 4: Simplify right side
    6,141.88x = 48,924,457.22
  5. Step 5: Solve for x
    x = 48,924,457.22/6,141.88
  6. Step 6: Final answer
    x = 7,965.71

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Double scale
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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.