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Finding the Fourth Proportional to 6,597.43, 9,893.06 and 3,824.89

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Solution

The fourth proportional to 6,597.43, 9,893.06 and 3,824.89 is: 5,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.43 : 9,893.06 = 3,824.89 : x
  2. Step 2: Convert to fraction form
    6,597.43/9,893.06 = 3,824.89/x
  3. Step 3: Cross multiply
    6,597.43x = 9,893.06 × 3,824.89
  4. Step 4: Simplify right side
    6,597.43x = 37,839,866.26
  5. Step 5: Solve for x
    x = 37,839,866.26/6,597.43
  6. Step 6: Final answer
    x = 5,735.55

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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.