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Finding the Fourth Proportional to 6,105.88, 9,164.22 and 3,335.08

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Solution

The fourth proportional to 6,105.88, 9,164.22 and 3,335.08 is: 5,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.88 : 9,164.22 = 3,335.08 : x
  2. Step 2: Convert to fraction form
    6,105.88/9,164.22 = 3,335.08/x
  3. Step 3: Cross multiply
    6,105.88x = 9,164.22 × 3,335.08
  4. Step 4: Simplify right side
    6,105.88x = 30,563,406.84
  5. Step 5: Solve for x
    x = 30,563,406.84/6,105.88
  6. Step 6: Final answer
    x = 5,005.57

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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.