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Finding the Fourth Proportional to 6,398.39, 9,598.47 and 3,280.03

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Solution

The fourth proportional to 6,398.39, 9,598.47 and 3,280.03 is: 4,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.39 : 9,598.47 = 3,280.03 : x
  2. Step 2: Convert to fraction form
    6,398.39/9,598.47 = 3,280.03/x
  3. Step 3: Cross multiply
    6,398.39x = 9,598.47 × 3,280.03
  4. Step 4: Simplify right side
    6,398.39x = 31,483,233.26
  5. Step 5: Solve for x
    x = 31,483,233.26/6,398.39
  6. Step 6: Final answer
    x = 4,920.49

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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.