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Finding the Fourth Proportional to 7,791.60, 11,684.67 and 2,243.46

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Solution

The fourth proportional to 7,791.60, 11,684.67 and 2,243.46 is: 3,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.60 : 11,684.67 = 2,243.46 : x
  2. Step 2: Convert to fraction form
    7,791.60/11,684.67 = 2,243.46/x
  3. Step 3: Cross multiply
    7,791.60x = 11,684.67 × 2,243.46
  4. Step 4: Simplify right side
    7,791.60x = 26,214,089.76
  5. Step 5: Solve for x
    x = 26,214,089.76/7,791.60
  6. Step 6: Final answer
    x = 3,364.40

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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.