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Finding the Fourth Proportional to 10,398, 15,592.14 and 3,467.64

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Solution

The fourth proportional to 10,398, 15,592.14 and 3,467.64 is: 5,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398 : 15,592.14 = 3,467.64 : x
  2. Step 2: Convert to fraction form
    10,398/15,592.14 = 3,467.64/x
  3. Step 3: Cross multiply
    10,398x = 15,592.14 × 3,467.64
  4. Step 4: Simplify right side
    10,398x = 54,067,928.35
  5. Step 5: Solve for x
    x = 54,067,928.35/10,398
  6. Step 6: Final answer
    x = 5,199.84

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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.