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Finding the Fourth Proportional to 7,243.97, 10,864.92 and 2,312.97

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Solution

The fourth proportional to 7,243.97, 10,864.92 and 2,312.97 is: 3,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.97 : 10,864.92 = 2,312.97 : x
  2. Step 2: Convert to fraction form
    7,243.97/10,864.92 = 2,312.97/x
  3. Step 3: Cross multiply
    7,243.97x = 10,864.92 × 2,312.97
  4. Step 4: Simplify right side
    7,243.97x = 25,130,201.94
  5. Step 5: Solve for x
    x = 25,130,201.94/7,243.97
  6. Step 6: Final answer
    x = 3,469.12

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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.