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Finding the Fourth Proportional to 7,195.74, 10,795.14 and 2,265.77

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Solution

The fourth proportional to 7,195.74, 10,795.14 and 2,265.77 is: 3,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.74 : 10,795.14 = 2,265.77 : x
  2. Step 2: Convert to fraction form
    7,195.74/10,795.14 = 2,265.77/x
  3. Step 3: Cross multiply
    7,195.74x = 10,795.14 × 2,265.77
  4. Step 4: Simplify right side
    7,195.74x = 24,459,250.38
  5. Step 5: Solve for x
    x = 24,459,250.38/7,195.74
  6. Step 6: Final answer
    x = 3,399.13

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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.