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Finding the Fourth Proportional to 7,167.96, 10,724.00 and 6,283.44

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Solution

The fourth proportional to 7,167.96, 10,724.00 and 6,283.44 is: 9,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.96 : 10,724.00 = 6,283.44 : x
  2. Step 2: Convert to fraction form
    7,167.96/10,724.00 = 6,283.44/x
  3. Step 3: Cross multiply
    7,167.96x = 10,724.00 × 6,283.44
  4. Step 4: Simplify right side
    7,167.96x = 67,383,579.14
  5. Step 5: Solve for x
    x = 67,383,579.14/7,167.96
  6. Step 6: Final answer
    x = 9,400.66

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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.