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Finding the Fourth Proportional to 7,630.69, 11,446.74 and 2,365.74

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Solution

The fourth proportional to 7,630.69, 11,446.74 and 2,365.74 is: 3,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.69 : 11,446.74 = 2,365.74 : x
  2. Step 2: Convert to fraction form
    7,630.69/11,446.74 = 2,365.74/x
  3. Step 3: Cross multiply
    7,630.69x = 11,446.74 × 2,365.74
  4. Step 4: Simplify right side
    7,630.69x = 27,080,010.69
  5. Step 5: Solve for x
    x = 27,080,010.69/7,630.69
  6. Step 6: Final answer
    x = 3,548.83

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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.