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Finding the Fourth Proportional to 6,784.62, 10,177.54 and 2,167.62

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Solution

The fourth proportional to 6,784.62, 10,177.54 and 2,167.62 is: 3,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.62 : 10,177.54 = 2,167.62 : x
  2. Step 2: Convert to fraction form
    6,784.62/10,177.54 = 2,167.62/x
  3. Step 3: Cross multiply
    6,784.62x = 10,177.54 × 2,167.62
  4. Step 4: Simplify right side
    6,784.62x = 22,061,039.25
  5. Step 5: Solve for x
    x = 22,061,039.25/6,784.62
  6. Step 6: Final answer
    x = 3,251.62

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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.