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Finding the Fourth Proportional to 10,791.82, 14,894.18 and 6,544.54

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Solution

The fourth proportional to 10,791.82, 14,894.18 and 6,544.54 is: 9,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.82 : 14,894.18 = 6,544.54 : x
  2. Step 2: Convert to fraction form
    10,791.82/14,894.18 = 6,544.54/x
  3. Step 3: Cross multiply
    10,791.82x = 14,894.18 × 6,544.54
  4. Step 4: Simplify right side
    10,791.82x = 97,475,556.78
  5. Step 5: Solve for x
    x = 97,475,556.78/10,791.82
  6. Step 6: Final answer
    x = 9,032.36

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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.