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Finding the Fourth Proportional to 6,731.92, 10,097.16 and 2,349.46

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Solution

The fourth proportional to 6,731.92, 10,097.16 and 2,349.46 is: 3,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.92 : 10,097.16 = 2,349.46 : x
  2. Step 2: Convert to fraction form
    6,731.92/10,097.16 = 2,349.46/x
  3. Step 3: Cross multiply
    6,731.92x = 10,097.16 × 2,349.46
  4. Step 4: Simplify right side
    6,731.92x = 23,722,873.53
  5. Step 5: Solve for x
    x = 23,722,873.53/6,731.92
  6. Step 6: Final answer
    x = 3,523.94

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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.