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Finding the Fourth Proportional to 7,791.93, 10,749.12 and 5,664.17

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Solution

The fourth proportional to 7,791.93, 10,749.12 and 5,664.17 is: 7,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.93 : 10,749.12 = 5,664.17 : x
  2. Step 2: Convert to fraction form
    7,791.93/10,749.12 = 5,664.17/x
  3. Step 3: Cross multiply
    7,791.93x = 10,749.12 × 5,664.17
  4. Step 4: Simplify right side
    7,791.93x = 60,884,789.28
  5. Step 5: Solve for x
    x = 60,884,789.28/7,791.93
  6. Step 6: Final answer
    x = 7,813.83

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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.