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Finding the Fourth Proportional to 6,884.72, 9,497.81 and 4,231.16

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Solution

The fourth proportional to 6,884.72, 9,497.81 and 4,231.16 is: 5,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.72 : 9,497.81 = 4,231.16 : x
  2. Step 2: Convert to fraction form
    6,884.72/9,497.81 = 4,231.16/x
  3. Step 3: Cross multiply
    6,884.72x = 9,497.81 × 4,231.16
  4. Step 4: Simplify right side
    6,884.72x = 40,186,685.11
  5. Step 5: Solve for x
    x = 40,186,685.11/6,884.72
  6. Step 6: Final answer
    x = 5,837.09

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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.