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Finding the Fourth Proportional to 7,161.62, 10,742.72 and 1,967.49

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Solution

The fourth proportional to 7,161.62, 10,742.72 and 1,967.49 is: 2,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.62 : 10,742.72 = 1,967.49 : x
  2. Step 2: Convert to fraction form
    7,161.62/10,742.72 = 1,967.49/x
  3. Step 3: Cross multiply
    7,161.62x = 10,742.72 × 1,967.49
  4. Step 4: Simplify right side
    7,161.62x = 21,136,184.34
  5. Step 5: Solve for x
    x = 21,136,184.34/7,161.62
  6. Step 6: Final answer
    x = 2,951.32

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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.