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Finding the Fourth Proportional to 7,067.54, 9,749.07 and 4,410.33

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Solution

The fourth proportional to 7,067.54, 9,749.07 and 4,410.33 is: 6,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.54 : 9,749.07 = 4,410.33 : x
  2. Step 2: Convert to fraction form
    7,067.54/9,749.07 = 4,410.33/x
  3. Step 3: Cross multiply
    7,067.54x = 9,749.07 × 4,410.33
  4. Step 4: Simplify right side
    7,067.54x = 42,996,615.89
  5. Step 5: Solve for x
    x = 42,996,615.89/7,067.54
  6. Step 6: Final answer
    x = 6,083.68

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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.