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Finding the Fourth Proportional to 6,397.73, 9,597.90 and 2,699.96

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Solution

The fourth proportional to 6,397.73, 9,597.90 and 2,699.96 is: 4,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.73 : 9,597.90 = 2,699.96 : x
  2. Step 2: Convert to fraction form
    6,397.73/9,597.90 = 2,699.96/x
  3. Step 3: Cross multiply
    6,397.73x = 9,597.90 × 2,699.96
  4. Step 4: Simplify right side
    6,397.73x = 25,913,946.08
  5. Step 5: Solve for x
    x = 25,913,946.08/6,397.73
  6. Step 6: Final answer
    x = 4,050.49

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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.