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Finding the Fourth Proportional to 6,090.84, 9,135 and 3,167.64

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Solution

The fourth proportional to 6,090.84, 9,135 and 3,167.64 is: 4,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.84 : 9,135 = 3,167.64 : x
  2. Step 2: Convert to fraction form
    6,090.84/9,135 = 3,167.64/x
  3. Step 3: Cross multiply
    6,090.84x = 9,135 × 3,167.64
  4. Step 4: Simplify right side
    6,090.84x = 28,936,391.40
  5. Step 5: Solve for x
    x = 28,936,391.40/6,090.84
  6. Step 6: Final answer
    x = 4,750.80

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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.