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Finding the Fourth Proportional to 6,851.99, 9,447.54 and 5,843.54

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Solution

The fourth proportional to 6,851.99, 9,447.54 and 5,843.54 is: 8,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.99 : 9,447.54 = 5,843.54 : x
  2. Step 2: Convert to fraction form
    6,851.99/9,447.54 = 5,843.54/x
  3. Step 3: Cross multiply
    6,851.99x = 9,447.54 × 5,843.54
  4. Step 4: Simplify right side
    6,851.99x = 55,207,079.60
  5. Step 5: Solve for x
    x = 55,207,079.60/6,851.99
  6. Step 6: Final answer
    x = 8,057.08

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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.