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Finding the Fourth Proportional to 7,013.97, 10,463.48 and 6,823.29

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Solution

The fourth proportional to 7,013.97, 10,463.48 and 6,823.29 is: 10,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.97 : 10,463.48 = 6,823.29 : x
  2. Step 2: Convert to fraction form
    7,013.97/10,463.48 = 6,823.29/x
  3. Step 3: Cross multiply
    7,013.97x = 10,463.48 × 6,823.29
  4. Step 4: Simplify right side
    7,013.97x = 71,395,324.33
  5. Step 5: Solve for x
    x = 71,395,324.33/7,013.97
  6. Step 6: Final answer
    x = 10,179.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.