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Finding the Fourth Proportional to 6,906.02, 10,358 and 2,225.42

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Solution

The fourth proportional to 6,906.02, 10,358 and 2,225.42 is: 3,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.02 : 10,358 = 2,225.42 : x
  2. Step 2: Convert to fraction form
    6,906.02/10,358 = 2,225.42/x
  3. Step 3: Cross multiply
    6,906.02x = 10,358 × 2,225.42
  4. Step 4: Simplify right side
    6,906.02x = 23,050,900.36
  5. Step 5: Solve for x
    x = 23,050,900.36/6,906.02
  6. Step 6: Final answer
    x = 3,337.80

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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.