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Finding the Fourth Proportional to 6,953.26, 9,595.42 and 3,766.51

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Solution

The fourth proportional to 6,953.26, 9,595.42 and 3,766.51 is: 5,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.26 : 9,595.42 = 3,766.51 : x
  2. Step 2: Convert to fraction form
    6,953.26/9,595.42 = 3,766.51/x
  3. Step 3: Cross multiply
    6,953.26x = 9,595.42 × 3,766.51
  4. Step 4: Simplify right side
    6,953.26x = 36,141,245.38
  5. Step 5: Solve for x
    x = 36,141,245.38/6,953.26
  6. Step 6: Final answer
    x = 5,197.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.