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Finding the Fourth Proportional to 7,161.61, 10,743.07 and 3,002.88

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Solution

The fourth proportional to 7,161.61, 10,743.07 and 3,002.88 is: 4,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.61 : 10,743.07 = 3,002.88 : x
  2. Step 2: Convert to fraction form
    7,161.61/10,743.07 = 3,002.88/x
  3. Step 3: Cross multiply
    7,161.61x = 10,743.07 × 3,002.88
  4. Step 4: Simplify right side
    7,161.61x = 32,260,150.04
  5. Step 5: Solve for x
    x = 32,260,150.04/7,161.61
  6. Step 6: Final answer
    x = 4,504.59

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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.