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Finding the Fourth Proportional to 6,596.42, 9,891.56 and 3,823.89

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Solution

The fourth proportional to 6,596.42, 9,891.56 and 3,823.89 is: 5,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.42 : 9,891.56 = 3,823.89 : x
  2. Step 2: Convert to fraction form
    6,596.42/9,891.56 = 3,823.89/x
  3. Step 3: Cross multiply
    6,596.42x = 9,891.56 × 3,823.89
  4. Step 4: Simplify right side
    6,596.42x = 37,824,241.92
  5. Step 5: Solve for x
    x = 37,824,241.92/6,596.42
  6. Step 6: Final answer
    x = 5,734.05

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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.