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Finding the Fourth Proportional to 7,066.50, 10,604.61 and 2,449.50

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Solution

The fourth proportional to 7,066.50, 10,604.61 and 2,449.50 is: 3,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.50 : 10,604.61 = 2,449.50 : x
  2. Step 2: Convert to fraction form
    7,066.50/10,604.61 = 2,449.50/x
  3. Step 3: Cross multiply
    7,066.50x = 10,604.61 × 2,449.50
  4. Step 4: Simplify right side
    7,066.50x = 25,975,992.20
  5. Step 5: Solve for x
    x = 25,975,992.20/7,066.50
  6. Step 6: Final answer
    x = 3,675.93

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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.