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Finding the Fourth Proportional to 7,195.50, 10,794.06 and 3,302.64

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Solution

The fourth proportional to 7,195.50, 10,794.06 and 3,302.64 is: 4,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.50 : 10,794.06 = 3,302.64 : x
  2. Step 2: Convert to fraction form
    7,195.50/10,794.06 = 3,302.64/x
  3. Step 3: Cross multiply
    7,195.50x = 10,794.06 × 3,302.64
  4. Step 4: Simplify right side
    7,195.50x = 35,648,894.32
  5. Step 5: Solve for x
    x = 35,648,894.32/7,195.50
  6. Step 6: Final answer
    x = 4,954.33

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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.