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Finding the Fourth Proportional to 10,396.68, 15,597.36 and 3,471

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Solution

The fourth proportional to 10,396.68, 15,597.36 and 3,471 is: 5,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.68 : 15,597.36 = 3,471 : x
  2. Step 2: Convert to fraction form
    10,396.68/15,597.36 = 3,471/x
  3. Step 3: Cross multiply
    10,396.68x = 15,597.36 × 3,471
  4. Step 4: Simplify right side
    10,396.68x = 54,138,436.56
  5. Step 5: Solve for x
    x = 54,138,436.56/10,396.68
  6. Step 6: Final answer
    x = 5,207.28

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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.