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Finding the Fourth Proportional to 11,598, 17,398.14 and 3,278.08

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Solution

The fourth proportional to 11,598, 17,398.14 and 3,278.08 is: 4,917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598 : 17,398.14 = 3,278.08 : x
  2. Step 2: Convert to fraction form
    11,598/17,398.14 = 3,278.08/x
  3. Step 3: Cross multiply
    11,598x = 17,398.14 × 3,278.08
  4. Step 4: Simplify right side
    11,598x = 57,032,494.77
  5. Step 5: Solve for x
    x = 57,032,494.77/11,598
  6. Step 6: Final answer
    x = 4,917.44

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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.