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Finding the Fourth Proportional to 6,398.04, 9,600.78 and 2,700.04

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Solution

The fourth proportional to 6,398.04, 9,600.78 and 2,700.04 is: 4,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.04 : 9,600.78 = 2,700.04 : x
  2. Step 2: Convert to fraction form
    6,398.04/9,600.78 = 2,700.04/x
  3. Step 3: Cross multiply
    6,398.04x = 9,600.78 × 2,700.04
  4. Step 4: Simplify right side
    6,398.04x = 25,922,490.03
  5. Step 5: Solve for x
    x = 25,922,490.03/6,398.04
  6. Step 6: Final answer
    x = 4,051.63

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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.