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Finding the Fourth Proportional to 7,922.36, 10,982.87 and 7,501

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Solution

The fourth proportional to 7,922.36, 10,982.87 and 7,501 is: 10,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.36 : 10,982.87 = 7,501 : x
  2. Step 2: Convert to fraction form
    7,922.36/10,982.87 = 7,501/x
  3. Step 3: Cross multiply
    7,922.36x = 10,982.87 × 7,501
  4. Step 4: Simplify right side
    7,922.36x = 82,382,507.87
  5. Step 5: Solve for x
    x = 82,382,507.87/7,922.36
  6. Step 6: Final answer
    x = 10,398.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.