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Finding the Fourth Proportional to 6,596.93, 9,892.31 and 3,824.39

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Solution

The fourth proportional to 6,596.93, 9,892.31 and 3,824.39 is: 5,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.93 : 9,892.31 = 3,824.39 : x
  2. Step 2: Convert to fraction form
    6,596.93/9,892.31 = 3,824.39/x
  3. Step 3: Cross multiply
    6,596.93x = 9,892.31 × 3,824.39
  4. Step 4: Simplify right side
    6,596.93x = 37,832,051.44
  5. Step 5: Solve for x
    x = 37,832,051.44/6,596.93
  6. Step 6: Final answer
    x = 5,734.80

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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.