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Finding the Fourth Proportional to 6,173.10, 9,259.64 and 3,398.34

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Solution

The fourth proportional to 6,173.10, 9,259.64 and 3,398.34 is: 5,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.10 : 9,259.64 = 3,398.34 : x
  2. Step 2: Convert to fraction form
    6,173.10/9,259.64 = 3,398.34/x
  3. Step 3: Cross multiply
    6,173.10x = 9,259.64 × 3,398.34
  4. Step 4: Simplify right side
    6,173.10x = 31,467,388.01
  5. Step 5: Solve for x
    x = 31,467,388.01/6,173.10
  6. Step 6: Final answer
    x = 5,097.50

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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.