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Finding the Fourth Proportional to 7,161.96, 10,743.24 and 1,967.76

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Solution

The fourth proportional to 7,161.96, 10,743.24 and 1,967.76 is: 2,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.96 : 10,743.24 = 1,967.76 : x
  2. Step 2: Convert to fraction form
    7,161.96/10,743.24 = 1,967.76/x
  3. Step 3: Cross multiply
    7,161.96x = 10,743.24 × 1,967.76
  4. Step 4: Simplify right side
    7,161.96x = 21,140,117.94
  5. Step 5: Solve for x
    x = 21,140,117.94/7,161.96
  6. Step 6: Final answer
    x = 2,951.72

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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.