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Finding the Fourth Proportional to 6,731.67, 10,081.83 and 6,498.12

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Solution

The fourth proportional to 6,731.67, 10,081.83 and 6,498.12 is: 9,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.67 : 10,081.83 = 6,498.12 : x
  2. Step 2: Convert to fraction form
    6,731.67/10,081.83 = 6,498.12/x
  3. Step 3: Cross multiply
    6,731.67x = 10,081.83 × 6,498.12
  4. Step 4: Simplify right side
    6,731.67x = 65,512,941.16
  5. Step 5: Solve for x
    x = 65,512,941.16/6,731.67
  6. Step 6: Final answer
    x = 9,732.05

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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.