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Finding the Fourth Proportional to 6,047.10, 9,066.36 and 2,346.21

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Solution

The fourth proportional to 6,047.10, 9,066.36 and 2,346.21 is: 3,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.10 : 9,066.36 = 2,346.21 : x
  2. Step 2: Convert to fraction form
    6,047.10/9,066.36 = 2,346.21/x
  3. Step 3: Cross multiply
    6,047.10x = 9,066.36 × 2,346.21
  4. Step 4: Simplify right side
    6,047.10x = 21,271,584.50
  5. Step 5: Solve for x
    x = 21,271,584.50/6,047.10
  6. Step 6: Final answer
    x = 3,517.65

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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.