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Finding the Fourth Proportional to 6,906.40, 9,536.92 and 5,134.93

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Solution

The fourth proportional to 6,906.40, 9,536.92 and 5,134.93 is: 7,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.40 : 9,536.92 = 5,134.93 : x
  2. Step 2: Convert to fraction form
    6,906.40/9,536.92 = 5,134.93/x
  3. Step 3: Cross multiply
    6,906.40x = 9,536.92 × 5,134.93
  4. Step 4: Simplify right side
    6,906.40x = 48,971,379.94
  5. Step 5: Solve for x
    x = 48,971,379.94/6,906.40
  6. Step 6: Final answer
    x = 7,090.73

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1.5x scale

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.