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Finding the Fourth Proportional to 6,597.17, 9,892.69 and 3,824.64

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Solution

The fourth proportional to 6,597.17, 9,892.69 and 3,824.64 is: 5,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.17 : 9,892.69 = 3,824.64 : x
  2. Step 2: Convert to fraction form
    6,597.17/9,892.69 = 3,824.64/x
  3. Step 3: Cross multiply
    6,597.17x = 9,892.69 × 3,824.64
  4. Step 4: Simplify right side
    6,597.17x = 37,835,968.32
  5. Step 5: Solve for x
    x = 37,835,968.32/6,597.17
  6. Step 6: Final answer
    x = 5,735.18

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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.