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Finding the Fourth Proportional to 6,100.93, 9,150.80 and 4,139.16

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Solution

The fourth proportional to 6,100.93, 9,150.80 and 4,139.16 is: 6,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.93 : 9,150.80 = 4,139.16 : x
  2. Step 2: Convert to fraction form
    6,100.93/9,150.80 = 4,139.16/x
  3. Step 3: Cross multiply
    6,100.93x = 9,150.80 × 4,139.16
  4. Step 4: Simplify right side
    6,100.93x = 37,876,625.33
  5. Step 5: Solve for x
    x = 37,876,625.33/6,100.93
  6. Step 6: Final answer
    x = 6,208.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.