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Finding the Fourth Proportional to 6,511.53, 9,744.62 and 5,327.85

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Solution

The fourth proportional to 6,511.53, 9,744.62 and 5,327.85 is: 7,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.53 : 9,744.62 = 5,327.85 : x
  2. Step 2: Convert to fraction form
    6,511.53/9,744.62 = 5,327.85/x
  3. Step 3: Cross multiply
    6,511.53x = 9,744.62 × 5,327.85
  4. Step 4: Simplify right side
    6,511.53x = 51,917,847.03
  5. Step 5: Solve for x
    x = 51,917,847.03/6,511.53
  6. Step 6: Final answer
    x = 7,973.22

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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.