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Finding the Fourth Proportional to 7,331.78, 10,998.06 and 2,138.06

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Solution

The fourth proportional to 7,331.78, 10,998.06 and 2,138.06 is: 3,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.78 : 10,998.06 = 2,138.06 : x
  2. Step 2: Convert to fraction form
    7,331.78/10,998.06 = 2,138.06/x
  3. Step 3: Cross multiply
    7,331.78x = 10,998.06 × 2,138.06
  4. Step 4: Simplify right side
    7,331.78x = 23,514,512.16
  5. Step 5: Solve for x
    x = 23,514,512.16/7,331.78
  6. Step 6: Final answer
    x = 3,207.20

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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.