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Finding the Fourth Proportional to 12,298, 16,971.24 and 7,330

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Solution

The fourth proportional to 12,298, 16,971.24 and 7,330 is: 10,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298 : 16,971.24 = 7,330 : x
  2. Step 2: Convert to fraction form
    12,298/16,971.24 = 7,330/x
  3. Step 3: Cross multiply
    12,298x = 16,971.24 × 7,330
  4. Step 4: Simplify right side
    12,298x = 124,399,189.20
  5. Step 5: Solve for x
    x = 124,399,189.20/12,298
  6. Step 6: Final answer
    x = 10,115.40

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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.