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Finding the Fourth Proportional to 12,298, 16,971.24 and 6,709

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Solution

The fourth proportional to 12,298, 16,971.24 and 6,709 is: 9,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298 : 16,971.24 = 6,709 : x
  2. Step 2: Convert to fraction form
    12,298/16,971.24 = 6,709/x
  3. Step 3: Cross multiply
    12,298x = 16,971.24 × 6,709
  4. Step 4: Simplify right side
    12,298x = 113,860,049.16
  5. Step 5: Solve for x
    x = 113,860,049.16/12,298
  6. Step 6: Final answer
    x = 9,258.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.