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Finding the Fourth Proportional to 6,062.45, 9,094.75 and 2,165.94

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Solution

The fourth proportional to 6,062.45, 9,094.75 and 2,165.94 is: 3,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.45 : 9,094.75 = 2,165.94 : x
  2. Step 2: Convert to fraction form
    6,062.45/9,094.75 = 2,165.94/x
  3. Step 3: Cross multiply
    6,062.45x = 9,094.75 × 2,165.94
  4. Step 4: Simplify right side
    6,062.45x = 19,698,677.40
  5. Step 5: Solve for x
    x = 19,698,677.40/6,062.45
  6. Step 6: Final answer
    x = 3,249.30

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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.