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Finding the Fourth Proportional to 6,902.96, 10,335.20 and 5,906.50

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Solution

The fourth proportional to 6,902.96, 10,335.20 and 5,906.50 is: 8,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.96 : 10,335.20 = 5,906.50 : x
  2. Step 2: Convert to fraction form
    6,902.96/10,335.20 = 5,906.50/x
  3. Step 3: Cross multiply
    6,902.96x = 10,335.20 × 5,906.50
  4. Step 4: Simplify right side
    6,902.96x = 61,044,803.43
  5. Step 5: Solve for x
    x = 61,044,803.43/6,902.96
  6. Step 6: Final answer
    x = 8,843.29

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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.